Allilueva, A. I.; Shafarevich, A. I. Maslov’s complex germ in the Cauchy problem for a wave equation with a jumping velocity. (English) Zbl 07500878 Russ. J. Math. Phys. 29, No. 1, 1-10 (2022). MSC: 35Q99 35P25 35C20 35L15 35K15 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 29, No. 1, 1--10 (2022; Zbl 07500878) Full Text: DOI OpenURL
Fukaya, Noriyoshi; Georgiev, Vladimir; Ikeda, Masahiro On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction. (English) Zbl 07500531 J. Differ. Equations 321, 258-295 (2022). MSC: 35Q55 35B35 PDF BibTeX XML Cite \textit{N. Fukaya} et al., J. Differ. Equations 321, 258--295 (2022; Zbl 07500531) Full Text: DOI OpenURL
Kopylova, Elena Global attractor for 3D Dirac equation with nonlinear point interaction. (English) Zbl 07496923 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022). MSC: 35B40 35B41 35Q41 PDF BibTeX XML Cite \textit{E. Kopylova}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022; Zbl 07496923) Full Text: DOI OpenURL
Fedotov, A. A. Complex WKB method for a system of two linear difference equations. (English. Russian original) Zbl 07491003 St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021). MSC: 39A45 39A12 34M30 34M60 PDF BibTeX XML Cite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 33, No. 2, 405--425 (2022; Zbl 07491003); translation from Algebra Anal. 33, No. 2, 298--326 (2021) Full Text: DOI OpenURL
Fedotov, Alexander; Shchetka, Ekaterina Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. (English) Zbl 07485303 Appl. Anal. 101, No. 1, 274-296 (2022). MSC: 39A45 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{E. Shchetka}, Appl. Anal. 101, No. 1, 274--296 (2022; Zbl 07485303) Full Text: DOI arXiv OpenURL
Damanik, David (ed.); Keller, Matthias (ed.); Nagnibeda, Tatiana (ed.); Pogorzelski, Felix (ed.) Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3–9, 2021 (online meeting). (English) Zbl 07513984 Oberwolfach Rep. 18, No. 1, 33-85 (2021). MSC: 00B05 00B25 47-06 47A10 47B80 47A35 05C50 82B44 52C23 46L10 PDF BibTeX XML Cite \textit{D. Damanik} (ed.) et al., Oberwolfach Rep. 18, No. 1, 33--85 (2021; Zbl 07513984) Full Text: DOI OpenURL
Cuccagna, Scipio; Maeda, Masaya Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. (English) Zbl 07500407 Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021). MSC: 35Q55 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021; Zbl 07500407) Full Text: DOI OpenURL
Ivanov, Alexey V. On singularly perturbed linear cocycles over irrational rotations. (English) Zbl 07441605 Regul. Chaotic Dyn. 26, No. 3, 205-221 (2021). MSC: 37H15 37A20 37C55 37D25 PDF BibTeX XML Cite \textit{A. V. Ivanov}, Regul. Chaotic Dyn. 26, No. 3, 205--221 (2021; Zbl 07441605) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. (English) Zbl 1475.35313 Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693-1716 (2021). MSC: 35Q55 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693--1716 (2021; Zbl 1475.35313) Full Text: DOI arXiv OpenURL
Eckhardt, Jonathan; Kostenko, Aleksey On the absolutely continuous spectrum of generalized indefinite strings. (English) Zbl 07432933 Ann. Henri Poincaré 22, No. 11, 3529-3564 (2021). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L05 34B07 34B20 34L25 PDF BibTeX XML Cite \textit{J. Eckhardt} and \textit{A. Kostenko}, Ann. Henri Poincaré 22, No. 11, 3529--3564 (2021; Zbl 07432933) Full Text: DOI arXiv OpenURL
Comech, Andrew; Kopylova, Elena Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity. (English) Zbl 1478.35080 Commun. Pure Appl. Anal. 20, No. 6, 2187-2209 (2021). MSC: 35C08 35B35 35L15 35L71 PDF BibTeX XML Cite \textit{A. Comech} and \textit{E. Kopylova}, Commun. Pure Appl. Anal. 20, No. 6, 2187--2209 (2021; Zbl 1478.35080) Full Text: DOI OpenURL
Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; Stanfill, Jonathan Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. (English) Zbl 07423435 Res. Math. Sci. 8, No. 4, Paper No. 61, 46 p. (2021). MSC: 47A10 47B10 47G10 34B27 34L40 PDF BibTeX XML Cite \textit{G. Fucci} et al., Res. Math. Sci. 8, No. 4, Paper No. 61, 46 p. (2021; Zbl 07423435) Full Text: DOI arXiv OpenURL
Dukhnovskii, S. A. On the rate of stabilization of solutions to the Cauchy problem for the Godunov-Sultangazin system with periodic initial data. (English. Russian original) Zbl 1476.35039 J. Math. Sci., New York 259, No. 3, 349-375 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 88-113 (2019). MSC: 35B40 35B25 35L45 35L60 35Q20 PDF BibTeX XML Cite \textit{S. A. Dukhnovskii}, J. Math. Sci., New York 259, No. 3, 349--375 (2021; Zbl 1476.35039); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 88--113 (2019) Full Text: DOI OpenURL
Budylin, A. M. Singular matrix conjugacy problem with rapidly oscillating off-diagonal entries. Asymptotics of the solution in the case when a diagonal entry vanishes at a stationary point. (English. Russian original) Zbl 1483.35144 St. Petersbg. Math. J. 32, No. 5, 847-864 (2021); translation from Algebra Anal. 32, No. 5, 37-61 (2020). Reviewer: Philippe Briet (Toulon) MSC: 35Q15 35Q55 35B40 45E99 PDF BibTeX XML Cite \textit{A. M. Budylin}, St. Petersbg. Math. J. 32, No. 5, 847--864 (2021; Zbl 1483.35144); translation from Algebra Anal. 32, No. 5, 37--61 (2020) Full Text: DOI OpenURL
Mashkin, Timur Invariant manifold of modified solitons for the perturbed sine-Gordon equation. (English) Zbl 1479.35746 Nonlinearity 34, No. 10, 6930-6962 (2021). MSC: 35Q53 35L70 35C08 35B20 35A24 35R01 PDF BibTeX XML Cite \textit{T. Mashkin}, Nonlinearity 34, No. 10, 6930--6962 (2021; Zbl 1479.35746) Full Text: DOI OpenURL
Yuan, Xu Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity. (English) Zbl 1471.35034 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1487-1524 (2021). MSC: 35B35 35L15 35L71 PDF BibTeX XML Cite \textit{X. Yuan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1487--1524 (2021; Zbl 1471.35034) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. (English) Zbl 1469.35150 Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021). MSC: 35L71 35B35 35B40 37K40 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021; Zbl 1469.35150) Full Text: DOI arXiv OpenURL
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDF BibTeX XML Cite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv OpenURL
Allilueva, A. I.; Shafarevich, A. I. Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. (English) Zbl 1468.35033 Russ. J. Math. Phys. 28, No. 2, 137-146 (2021). MSC: 35C20 35C10 35L15 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 28, No. 2, 137--146 (2021; Zbl 1468.35033) Full Text: DOI OpenURL
Pyatkov, S. G.; Neustroeva, L. V. On some asymptotic representations of solutions to elliptic equations and their applications. (English) Zbl 1467.35114 Complex Var. Elliptic Equ. 66, No. 6-7, 964-987 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J08 35J05 35R30 PDF BibTeX XML Cite \textit{S. G. Pyatkov} and \textit{L. V. Neustroeva}, Complex Var. Elliptic Equ. 66, No. 6--7, 964--987 (2021; Zbl 1467.35114) Full Text: DOI OpenURL
Drouot, Alexis Microlocal analysis of the bulk-edge correspondence. (English) Zbl 1462.81214 Commun. Math. Phys. 383, No. 3, 2069-2112 (2021). MSC: 81V70 35J10 81Q10 82B20 35Q40 82D20 35P05 81Q20 35P20 35S05 46L87 19L10 PDF BibTeX XML Cite \textit{A. Drouot}, Commun. Math. Phys. 383, No. 3, 2069--2112 (2021; Zbl 1462.81214) Full Text: DOI arXiv OpenURL
Comech, Andrew; Cuccagna, Scipio On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. (English) Zbl 1460.35321 Discrete Contin. Dyn. Syst. 41, No. 3, 1225-1270 (2021). MSC: 35Q55 35B35 35B40 35C08 35Q41 37K40 PDF BibTeX XML Cite \textit{A. Comech} and \textit{S. Cuccagna}, Discrete Contin. Dyn. Syst. 41, No. 3, 1225--1270 (2021; Zbl 1460.35321) Full Text: DOI arXiv OpenURL
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and of the eigenfunctions of the absolutely continuous spectrum. (English. Russian original) Zbl 1455.81044 J. Math. Sci., New York 252, No. 5, 567-575 (2021); translation from Zap. Nauchn. Semin. POMI 483, 5-18 (2019). MSC: 81U10 81V45 81Q10 34L40 34L20 47A10 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 252, No. 5, 567--575 (2021; Zbl 1455.81044); translation from Zap. Nauchn. Semin. POMI 483, 5--18 (2019) Full Text: DOI OpenURL
Adami, Riccardo; Fukuizumi, Reika; Holmer, Justin Scattering for the \(L^2\) supercritical point NLS. (English) Zbl 1457.35064 Trans. Am. Math. Soc. 374, No. 1, 35-60 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B40 35P25 78A60 PDF BibTeX XML Cite \textit{R. Adami} et al., Trans. Am. Math. Soc. 374, No. 1, 35--60 (2021; Zbl 1457.35064) Full Text: DOI arXiv OpenURL
Li, Ze Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case. (English) Zbl 1465.35360 Front. Math. China 15, No. 5, 923-957 (2020). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35C08 35B40 35B35 PDF BibTeX XML Cite \textit{Z. Li}, Front. Math. China 15, No. 5, 923--957 (2020; Zbl 1465.35360) Full Text: DOI arXiv OpenURL
Léger, Tristan Scattering for a particle interacting with a Bose gas. (English) Zbl 1462.35359 Commun. Partial Differ. Equations 45, No. 10, 1381-1413 (2020). MSC: 35Q55 82D05 35C08 76G25 35B40 PDF BibTeX XML Cite \textit{T. Léger}, Commun. Partial Differ. Equations 45, No. 10, 1381--1413 (2020; Zbl 1462.35359) Full Text: DOI arXiv OpenURL
Fring, Andreas; Tenney, Rebecca Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators. (English) Zbl 1448.81345 Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020). MSC: 81Q65 81Q05 PDF BibTeX XML Cite \textit{A. Fring} and \textit{R. Tenney}, Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020; Zbl 1448.81345) Full Text: DOI arXiv OpenURL
Levin, S. B. Diffraction approach in the scattering problem for three charged quantum particles. (English. Russian original) Zbl 1451.81368 Math. Notes 108, No. 3, 457-461 (2020); translation from Mat. Zametki 108, No. 3, 469-473 (2020). MSC: 81U10 81V10 81U35 35P20 47A40 PDF BibTeX XML Cite \textit{S. B. Levin}, Math. Notes 108, No. 3, 457--461 (2020; Zbl 1451.81368); translation from Mat. Zametki 108, No. 3, 469--473 (2020) Full Text: DOI OpenURL
Its, A.; Sukhanov, V. Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. (English) Zbl 1451.35163 Nonlinearity 33, No. 10, 5215-5245 (2020). MSC: 35Q53 35B40 37K15 35K35 35P25 35Q15 PDF BibTeX XML Cite \textit{A. Its} and \textit{V. Sukhanov}, Nonlinearity 33, No. 10, 5215--5245 (2020; Zbl 1451.35163) Full Text: DOI OpenURL
Sukhanov, V. V. Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation. (English. Russian original) Zbl 1453.34108 St. Petersbg. Math. J. 31, No. 5, 903-910 (2020); translation from Algebra Anal. 31, No. 5, 206-215 (2019). MSC: 34L05 34A55 34L40 34A05 PDF BibTeX XML Cite \textit{V. V. Sukhanov}, St. Petersbg. Math. J. 31, No. 5, 903--910 (2020; Zbl 1453.34108); translation from Algebra Anal. 31, No. 5, 206--215 (2019) Full Text: DOI OpenURL
Fialkovsky, Ignat; Perel, Maria Mode transformation for a Schrödinger type equation: avoided and unavoidable level crossings. (English) Zbl 1461.81031 J. Math. Phys. 61, No. 4, 043506, 30 p. (2020). Reviewer: Vatsal Dwivedi (Köln) MSC: 81Q05 81Q15 81Q37 35C20 34E20 PDF BibTeX XML Cite \textit{I. Fialkovsky} and \textit{M. Perel}, J. Math. Phys. 61, No. 4, 043506, 30 p. (2020; Zbl 1461.81031) Full Text: DOI arXiv OpenURL
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029 J. Math. Phys. 61, No. 4, 041504, 35 p. (2020). MSC: 81Q05 81Q10 35Q55 35Q41 35C08 46E39 93B18 PDF BibTeX XML Cite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI OpenURL
Mashkin, Timur Stability of the solitary manifold of the perturbed sine-Gordon equation. (English) Zbl 1442.35065 J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020). MSC: 35C08 35L71 35B40 PDF BibTeX XML Cite \textit{T. Mashkin}, J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020; Zbl 1442.35065) Full Text: DOI arXiv OpenURL
Allilueva, A. I.; Shafarevich, A. I. Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. (English) Zbl 1441.35150 Russ. J. Math. Phys. 27, No. 2, 145-154 (2020). MSC: 35L15 35B27 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 27, No. 2, 145--154 (2020; Zbl 1441.35150) Full Text: DOI OpenURL
Takhtajan, Leon A. Etudes of the resolvent. (English. Russian original) Zbl 1440.47004 Russ. Math. Surv. 75, No. 1, 147-186 (2020); translation from Usp. Mat. Nauk 75, No. 1, 155-194 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 47A10 47B25 34B24 35P10 47-02 PDF BibTeX XML Cite \textit{L. A. Takhtajan}, Russ. Math. Surv. 75, No. 1, 147--186 (2020; Zbl 1440.47004); translation from Usp. Mat. Nauk 75, No. 1, 155--194 (2020) Full Text: DOI arXiv OpenURL
Komech, Aleksandr I.; Kopylova, Elena A. Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original) Zbl 1439.35001 Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020). MSC: 35-02 35B41 35B40 35C08 35L71 35B06 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Russ. Math. Surv. 75, No. 1, 1--87 (2020; Zbl 1439.35001); translation from Usp. Mat. Nauk 75, No. 1, 3--94 (2020) Full Text: DOI arXiv OpenURL
Kopylova, Elena; Komech, Alexander Global attractor for 1D Dirac field coupled to nonlinear oscillator. (English) Zbl 1437.35600 Commun. Math. Phys. 375, No. 1, 573-603 (2020). MSC: 35Q41 35B41 35C08 35B40 42A38 35B32 35B05 35P30 PDF BibTeX XML Cite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI arXiv OpenURL
Korotyaev, Evgeny Trace formulas for Schrödinger operators with complex potentials on a half line. (English) Zbl 1442.47032 Lett. Math. Phys. 110, No. 1, 1-20 (2020). Reviewer: Guy Katriel (Haifa) MSC: 47E05 34L20 34L40 81Q10 PDF BibTeX XML Cite \textit{E. Korotyaev}, Lett. Math. Phys. 110, No. 1, 1--20 (2020; Zbl 1442.47032) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state. (English) Zbl 1439.35439 J. Differ. Equations 268, No. 10, 6416-6480 (2020). MSC: 35Q55 35B06 35B05 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 268, No. 10, 6416--6480 (2020; Zbl 1439.35439) Full Text: DOI arXiv OpenURL
Martínez, María E. Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension. (English) Zbl 1434.35185 Nonlinearity 33, No. 3, 1156-1182 (2020). MSC: 35Q55 35Q40 35B40 35P25 35C08 35B35 PDF BibTeX XML Cite \textit{M. E. Martínez}, Nonlinearity 33, No. 3, 1156--1182 (2020; Zbl 1434.35185) Full Text: DOI arXiv OpenURL
An, Xinliang; Soffer, Avy Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. (English) Zbl 1431.35145 Discrete Contin. Dyn. Syst. 40, No. 1, 331-373 (2020). MSC: 35Q40 35B34 35B40 35L70 35P25 35C08 PDF BibTeX XML Cite \textit{X. An} and \textit{A. Soffer}, Discrete Contin. Dyn. Syst. 40, No. 1, 331--373 (2020; Zbl 1431.35145) Full Text: DOI arXiv OpenURL
Fedotov, A. A. On adiabatic normal modes in a wedge-shaped sea. (English. Russian original) Zbl 1436.35278 J. Math. Sci., New York 243, No. 5, 808-824 (2019); translation from Zap. Nauchn. Semin. POMI 471, 261-285 (2018). MSC: 35Q35 35J05 35C20 35J25 76Q05 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 243, No. 5, 808--824 (2019; Zbl 1436.35278); translation from Zap. Nauchn. Semin. POMI 471, 261--285 (2018) Full Text: DOI OpenURL
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. (English. Russian original) Zbl 1435.81230 J. Math. Sci., New York 243, No. 5, 640-655 (2019); translation from Zap. Nauchn. Semin. POMI 471, 15-37 (2018). MSC: 81U10 81U20 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 243, No. 5, 640--655 (2019; Zbl 1435.81230); translation from Zap. Nauchn. Semin. POMI 471, 15--37 (2018) Full Text: DOI OpenURL
Fedotov, Alexander; Klopp, Frédéric The complex WKB method for difference equations and Airy functions. (English) Zbl 1425.39011 SIAM J. Math. Anal. 51, No. 6, 4413-4447 (2019). MSC: 39A45 39A12 33C10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, SIAM J. Math. Anal. 51, No. 6, 4413--4447 (2019; Zbl 1425.39011) Full Text: DOI arXiv OpenURL
Boussaïd, Nabile; Comech, Andrew Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity. (English) Zbl 1426.35026 J. Funct. Anal. 277, No. 12, Article ID 108289, 68 p. (2019). MSC: 35B35 35Q41 35C08 35P15 PDF BibTeX XML Cite \textit{N. Boussaïd} and \textit{A. Comech}, J. Funct. Anal. 277, No. 12, Article ID 108289, 68 p. (2019; Zbl 1426.35026) Full Text: DOI arXiv OpenURL
Borthwick, David; Donninger, Roland; Lenzmann, Enno; Marzuola, Jeremy L. Existence and stability of Schrödinger solitons on noncompact manifolds. (English) Zbl 1428.35486 SIAM J. Math. Anal. 51, No. 5, 3854-3901 (2019). MSC: 35Q55 35C08 35B35 35B44 35B20 PDF BibTeX XML Cite \textit{D. Borthwick} et al., SIAM J. Math. Anal. 51, No. 5, 3854--3901 (2019; Zbl 1428.35486) Full Text: DOI arXiv OpenURL
Fedotov, A. A. On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential \(v(z) = e^{-2\pi iz}\). (English. Russian original) Zbl 1480.39015 J. Math. Sci., New York 238, No. 5, 750-761 (2019); translation from Zap. Nauchn. Semin. POMI 461, 279-297 (2017). Reviewer: Molyboga Volodymyr (Kyiv) MSC: 39A45 39A12 39A22 34L40 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 238, No. 5, 750--761 (2019; Zbl 1480.39015); translation from Zap. Nauchn. Semin. POMI 461, 279--297 (2017) Full Text: DOI OpenURL
Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B. Some aspects of the scattering problem for a system of three charged particles. (English. Russian original) Zbl 1419.81038 J. Math. Sci., New York 238, No. 5, 601-620 (2019); translation from Zap. Nauchn. Semin. POMI 461, 65-94 (2017). MSC: 81U10 81Q10 35P05 70F07 PDF BibTeX XML Cite \textit{A. M. Budylin} et al., J. Math. Sci., New York 238, No. 5, 601--620 (2019; Zbl 1419.81038); translation from Zap. Nauchn. Semin. POMI 461, 65--94 (2017) Full Text: DOI OpenURL
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. On justification of the asymptotics of eigenfunctions of the absolutely continuous spectrum in the problem of three one-dimensional short-range quantum particles with repulsion. (English. Russian original) Zbl 1419.81009 J. Math. Sci., New York 238, No. 5, 566-590 (2019); translation from Zap. Nauchn. Semin. POMI 461, 14-51 (2017). MSC: 81Q05 81U05 47A10 35B40 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 238, No. 5, 566--590 (2019; Zbl 1419.81009); translation from Zap. Nauchn. Semin. POMI 461, 14--51 (2017) Full Text: DOI OpenURL
Rozenblum, G. V. On the mathematical work of Mikhaĭl Zakharovich Solomyak. (English. Russian original) Zbl 1436.47001 St. Petersbg. Math. J. 30, No. 3, 391-410 (2019); translation from Algebra Anal. 30, No. 3, 3-29 (2018). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 47-03 35-03 01A70 35P20 35P15 47F05 47B25 PDF BibTeX XML Cite \textit{G. V. Rozenblum}, St. Petersbg. Math. J. 30, No. 3, 391--410 (2019; Zbl 1436.47001); translation from Algebra Anal. 30, No. 3, 3--29 (2018) Full Text: DOI OpenURL
Gesztesy, Fritz; Kirsten, Klaus Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. (English) Zbl 06988448 J. Funct. Anal. 276, No. 2, 520-562 (2019). MSC: 47A10 47B10 47G10 34B27 34L40 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{K. Kirsten}, J. Funct. Anal. 276, No. 2, 520--562 (2019; Zbl 06988448) Full Text: DOI arXiv OpenURL
Fedotov, A. A. A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012 Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018). MSC: 39A70 39A06 81Q20 34B30 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 4, 311--315 (2018; Zbl 1416.39012); translation from Funkts. Anal. Prilozh. 52, No. 4, 89--93 (2018) Full Text: DOI OpenURL
Telksnys, T.; Navickas, Z.; Marcinkevicius, R.; Ragulskis, M. Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling. (English) Zbl 1426.35082 Appl. Math. Comput. 320, 380-388 (2018). MSC: 35G20 35A01 35C08 PDF BibTeX XML Cite \textit{T. Telksnys} et al., Appl. Math. Comput. 320, 380--388 (2018; Zbl 1426.35082) Full Text: DOI OpenURL
Fedotov, A. A.; Shchetka, E. V. Semiclassical asymptotics of the spectrum of the subcritical Harper operator. (English. Russian original) Zbl 1447.47034 Math. Notes 104, No. 6, 933-938 (2018); translation from Mat. Zametki 104, No. 6, 948-952 (2018). MSC: 47B39 47A10 PDF BibTeX XML Cite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, Math. Notes 104, No. 6, 933--938 (2018; Zbl 1447.47034); translation from Mat. Zametki 104, No. 6, 948--952 (2018) Full Text: DOI OpenURL
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1405.33014 Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018). MSC: 33C45 39A70 47A40 47B39 PDF BibTeX XML Cite \textit{D. R. Yafaev}, Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018; Zbl 1405.33014) Full Text: DOI OpenURL
Usman, Muhammad; Zaidi, Ali Ashher Trace formulas for Schrödinger operators on star graphs with general matching conditions. (English) Zbl 1397.81075 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018). MSC: 81Q35 05C12 81Q10 34L40 PDF BibTeX XML Cite \textit{M. Usman} and \textit{A. A. Zaidi}, J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018; Zbl 1397.81075) Full Text: DOI OpenURL
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor The sine process under the influence of a varying potential. (English) Zbl 1404.60010 J. Math. Phys. 59, No. 9, 091414, 6 p. (2018). MSC: 60B20 60G55 15B52 PDF BibTeX XML Cite \textit{T. Bothner} et al., J. Math. Phys. 59, No. 9, 091414, 6 p. (2018; Zbl 1404.60010) Full Text: DOI arXiv OpenURL
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). (English) Zbl 1428.35500 SIAM J. Math. Anal. 50, No. 5, 5243-5292 (2018). MSC: 35Q55 37K40 35B40 35C08 35P25 PDF BibTeX XML Cite \textit{Q. Deng} et al., SIAM J. Math. Anal. 50, No. 5, 5243--5292 (2018; Zbl 1428.35500) Full Text: DOI arXiv OpenURL
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDF BibTeX XML Cite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) Full Text: DOI arXiv OpenURL
Basti, Giulia; Cacciapuoti, Claudio; Finco, Domenico; Teta, Alessandro The three-body problem in dimension one: from short-range to contact interactions. (English) Zbl 1394.81114 J. Math. Phys. 59, No. 7, 072104, 18 p. (2018). MSC: 81Q05 81Q10 70F07 81V70 82D05 PDF BibTeX XML Cite \textit{G. Basti} et al., J. Math. Phys. 59, No. 7, 072104, 18 p. (2018; Zbl 1394.81114) Full Text: DOI arXiv OpenURL
Snelson, Stanley Asymptotic stability for odd perturbations of the stationary kink in the variable-speed \(\phi ^4\) model. (English) Zbl 1415.35208 Trans. Am. Math. Soc. 370, No. 10, 7437-7460 (2018). MSC: 35L71 35L15 35C07 PDF BibTeX XML Cite \textit{S. Snelson}, Trans. Am. Math. Soc. 370, No. 10, 7437--7460 (2018; Zbl 1415.35208) Full Text: DOI arXiv OpenURL
Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang Blow-up dynamics and spectral property in the \(L^{2}\)-critical nonlinear Schrödinger equation in high dimensions. (English) Zbl 1397.35291 Nonlinearity 31, No. 9, 4354-4392 (2018). MSC: 35Q55 35Q40 35P30 35B44 PDF BibTeX XML Cite \textit{K. Yang} et al., Nonlinearity 31, No. 9, 4354--4392 (2018; Zbl 1397.35291) Full Text: DOI arXiv OpenURL
Fedotov, A. A. Monodromization and difference equations with meromorphic periodic coefficients. (English. Russian original) Zbl 1390.39053 Funct. Anal. Appl. 52, No. 1, 77-81 (2018); translation from Funkts. Anal. Prilozh. 52, No. 1, 92-97 (2018). MSC: 39A45 39A23 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 1, 77--81 (2018; Zbl 1390.39053); translation from Funkts. Anal. Prilozh. 52, No. 1, 92--97 (2018) Full Text: DOI OpenURL
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDF BibTeX XML Cite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid OpenURL
Bothner, Thomas; Buckingham, Robert Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. (English) Zbl 1407.60005 Commun. Math. Phys. 359, No. 1, 223-263 (2018). MSC: 60B20 15B52 60F10 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{R. Buckingham}, Commun. Math. Phys. 359, No. 1, 223--263 (2018; Zbl 1407.60005) Full Text: DOI arXiv OpenURL
Demirel-Frank, Semra; Shou, Laura Trace formulas for Schrödinger operators on star graphs. (English) Zbl 1387.81222 Bull. Math. Sci. 8, No. 1, 15-31 (2018). MSC: 81Q35 81Q05 81Q10 35J10 PDF BibTeX XML Cite \textit{S. Demirel-Frank} and \textit{L. Shou}, Bull. Math. Sci. 8, No. 1, 15--31 (2018; Zbl 1387.81222) Full Text: DOI arXiv OpenURL
Yafaev, D. R. Passage through a potential barrier and multiple wells. (English) Zbl 06852219 St. Petersbg. Math. J. 29, No. 2, 399-422 (2018) and Algebra Anal. 29, No. 2, 242-273 (2017). MSC: 47A40 81U05 PDF BibTeX XML Cite \textit{D. R. Yafaev}, St. Petersbg. Math. J. 29, No. 2, 399--422 (2018; Zbl 06852219) Full Text: DOI arXiv OpenURL
Komech, A.; Kopylova, E.; Spohn, H. On global attractors and radiation damping for nonrelativistic particle coupled to scalar field. (English. Russian original) Zbl 1387.35563 St. Petersbg. Math. J. 29, No. 2, 249-266 (2018); translation from Algebra Anal. 29, No. 2, 34-58 (2017). MSC: 35Q60 78A40 78M35 PDF BibTeX XML Cite \textit{A. Komech} et al., St. Petersbg. Math. J. 29, No. 2, 249--266 (2018; Zbl 1387.35563); translation from Algebra Anal. 29, No. 2, 34--58 (2017) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio On asymptotic stability of nonlinear waves. (English) Zbl 1475.35415 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 18, 27 p. (2017). MSC: 35R30 35B35 35P25 35Q53 35Q55 35-02 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI OpenURL
Znojil, Miloslav; Ružička, František; Zloshchastiev, Konstantin G. Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels. (English) Zbl 1423.35358 Symmetry 9, No. 8, Paper No. 165, 18 p. (2017). MSC: 35Q55 PDF BibTeX XML Cite \textit{M. Znojil} et al., Symmetry 9, No. 8, Paper No. 165, 18 p. (2017; Zbl 1423.35358) Full Text: DOI OpenURL
Dukhnovskii, S. A. On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data. (Russian. English summary) Zbl 1413.35302 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 7-41 (2017). MSC: 35L45 35L60 35Q20 PDF BibTeX XML Cite \textit{S. A. Dukhnovskii}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 7--41 (2017; Zbl 1413.35302) Full Text: DOI MNR OpenURL
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008 Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017). MSC: 81-03 01A60 01A70 16T25 17B37 35J10 35P25 35Q53 35Q55 37K15 58B32 58J52 70S15 81R50 81S40 81T10 81T13 81T50 81T70 81U40 82B23 82C23 PDF BibTeX XML Cite \textit{L. A. Takhtajan} et al., Russ. Math. Surv. 72, No. 6, 977--1081 (2017; Zbl 1396.81008); translation from Usp. Mat. Nauk 72, No. 6, xx (2017) Full Text: DOI OpenURL
Fedotov, A. A.; Shchetka, E. V. The complex WKB method for difference equations in bounded domains. (English. Russian original) Zbl 1476.39025 J. Math. Sci., New York 224, No. 1, 157-169 (2017); translation from Zap. Nauchn. Semin. POMI 438, 236-256 (2015). MSC: 39A70 34E20 39A12 39B32 PDF BibTeX XML Cite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, J. Math. Sci., New York 224, No. 1, 157--169 (2017; Zbl 1476.39025); translation from Zap. Nauchn. Semin. POMI 438, 236--256 (2015) Full Text: DOI OpenURL
Budylin, A. M.; Levin, S. B. To the question on the resolvent kernel asymptotics in the three-body scattering problem. (English. Russian original) Zbl 1386.81142 J. Math. Sci., New York 224, No. 1, 63-68 (2017); translation from Zap. Nauchn. Semin. POMI 438, 95-103 (2015). MSC: 81U10 81Q05 70F07 47A10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{S. B. Levin}, J. Math. Sci., New York 224, No. 1, 63--68 (2017; Zbl 1386.81142); translation from Zap. Nauchn. Semin. POMI 438, 95--103 (2015) Full Text: DOI OpenURL
Budylin, A. M.; Levin, S. B. Convolution equations on a large finite interval with symbols having power-order zeros. (English. Russian original) Zbl 1392.45003 J. Math. Sci., New York 224, No. 1, 54-62 (2017); translation from Zap. Nauchn. Semin. POMI 438, 83-94 (2015). MSC: 45B05 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{S. B. Levin}, J. Math. Sci., New York 224, No. 1, 54--62 (2017; Zbl 1392.45003); translation from Zap. Nauchn. Semin. POMI 438, 83--94 (2015) Full Text: DOI OpenURL
Kirr, E. Long time dynamics and coherent states in nonlinear wave equations. (English) Zbl 1397.35160 Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-6968-5/hbk; 978-1-4939-6969-2/ebook). Fields Institute Communications 79, 59-88 (2017). Reviewer: Dongbing Zha (Shanghai) MSC: 35L90 35L05 35Q55 35L72 35P25 35-02 35B40 PDF BibTeX XML Cite \textit{E. Kirr}, Fields Inst. Commun. 79, 59--88 (2017; Zbl 1397.35160) Full Text: DOI arXiv OpenURL
de la Llave, Rafael Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem. (English) Zbl 1385.37022 Regul. Chaotic Dyn. 22, No. 6, 650-676 (2017). Reviewer: Sylvia Novo (Valladolid) MSC: 37B55 37C60 37F50 30D05 47J07 PDF BibTeX XML Cite \textit{R. de la Llave}, Regul. Chaotic Dyn. 22, No. 6, 650--676 (2017; Zbl 1385.37022) Full Text: DOI OpenURL
Bikmetov, A. R.; Khusnullin, I. Kh. Perturbation of the Hill operator by narrow potentials. (English. Russian original) Zbl 1385.34060 Russ. Math. 61, No. 7, 1-10 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3-13 (2017). Reviewer: Rakib Efendiev (Baku) MSC: 34L40 34L05 34D10 PDF BibTeX XML Cite \textit{A. R. Bikmetov} and \textit{I. Kh. Khusnullin}, Russ. Math. 61, No. 7, 1--10 (2017; Zbl 1385.34060); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3--13 (2017) Full Text: DOI OpenURL
Fedotov, A. A. Quasiclassical asymptotics of Malyuzhinets functions. (English. Russian original) Zbl 1380.39022 J. Math. Sci., New York 226, No. 6, 810-816 (2017); translation from Zap. Nauchn. Semin. POMI 451, 178-187 (2016). MSC: 39A45 39A22 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 226, No. 6, 810--816 (2017; Zbl 1380.39022); translation from Zap. Nauchn. Semin. POMI 451, 178--187 (2016) Full Text: DOI OpenURL
Levin, S. B. On the asymptotic behavior of eigenfunctions of the continuous spectrum at infinity in configuration space for the system of three three-dimensional like-charged quantum particles. (English. Russian original) Zbl 1380.81121 J. Math. Sci., New York 226, No. 6, 744-767 (2017); translation from Zap. Nauchn. Semin. POMI 451, 79-115 (2016). MSC: 81Q10 35J10 35P20 70F07 PDF BibTeX XML Cite \textit{S. B. Levin}, J. Math. Sci., New York 226, No. 6, 744--767 (2017; Zbl 1380.81121); translation from Zap. Nauchn. Semin. POMI 451, 79--115 (2016) Full Text: DOI OpenURL
Budylin, A. M.; Sokolov, S. V. Convolution equations on a large finite interval with symbols having power-order zeros or poles. (English. Russian original) Zbl 1380.44003 J. Math. Sci., New York 226, No. 6, 711-719 (2017); translation from Zap. Nauchn. Semin. POMI 451, 29-42 (2016). MSC: 44A35 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{S. V. Sokolov}, J. Math. Sci., New York 226, No. 6, 711--719 (2017; Zbl 1380.44003); translation from Zap. Nauchn. Semin. POMI 451, 29--42 (2016) Full Text: DOI OpenURL
Radkevich, E. V.; Vasil’eva, O. A. Generation of chaotic dynamics and local equilibrium for the Carleman equation. (English. Russian original) Zbl 1373.37099 J. Math. Sci., New York 224, No. 5, 764-795 (2017); translation from Probl. Mat. Anal. 88, 143-170 (2017). MSC: 37D45 35F55 35C20 PDF BibTeX XML Cite \textit{E. V. Radkevich} and \textit{O. A. Vasil'eva}, J. Math. Sci., New York 224, No. 5, 764--795 (2017; Zbl 1373.37099); translation from Probl. Mat. Anal. 88, 143--170 (2017) Full Text: DOI OpenURL
Maeda, Masaya Existence and asymptotic stability of quasi-periodic solutions of discrete NLS with potential. (English) Zbl 1375.35501 SIAM J. Math. Anal. 49, No. 5, 3396-3426 (2017). MSC: 35Q55 35B35 35B40 35B10 PDF BibTeX XML Cite \textit{M. Maeda}, SIAM J. Math. Anal. 49, No. 5, 3396--3426 (2017; Zbl 1375.35501) Full Text: DOI arXiv OpenURL
Gradusov, V. A.; Yakovlev, S. L. Perturbation theory in the scattering problem for a three-particle system. (English. Russian original) Zbl 1369.81097 Theor. Math. Phys. 191, No. 1, 524-536 (2017); translation from Teor. Mat. Fiz. 191, No. 1, 63-77 (2017). MSC: 81U10 81Q15 81Q05 PDF BibTeX XML Cite \textit{V. A. Gradusov} and \textit{S. L. Yakovlev}, Theor. Math. Phys. 191, No. 1, 524--536 (2017; Zbl 1369.81097); translation from Teor. Mat. Fiz. 191, No. 1, 63--77 (2017) Full Text: DOI OpenURL
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\). (English) Zbl 1367.35158 Arch. Ration. Mech. Anal. 225, No. 1, 469-548 (2017). MSC: 35Q55 35C08 35B38 35B44 35B40 35Q41 35P25 PDF BibTeX XML Cite \textit{R. Killip} et al., Arch. Ration. Mech. Anal. 225, No. 1, 469--548 (2017; Zbl 1367.35158) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Nonexistence of small, odd breathers for a class of nonlinear wave equations. (English) Zbl 1384.35109 Lett. Math. Phys. 107, No. 5, 921-931 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35Q55 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Lett. Math. Phys. 107, No. 5, 921--931 (2017; Zbl 1384.35109) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. (English) Zbl 1387.35419 J. Am. Math. Soc. 30, No. 3, 769-798 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35L71 35Q51 37K40 35B35 35L15 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., J. Am. Math. Soc. 30, No. 3, 769--798 (2017; Zbl 1387.35419) Full Text: DOI arXiv OpenURL
Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas Asymptotic stability of solitary waves in generalized Gross-Neveu model. (English) Zbl 1357.35083 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 157-196 (2017). MSC: 35C08 35Q41 35B35 PDF BibTeX XML Cite \textit{A. Comech} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 157--196 (2017; Zbl 1357.35083) Full Text: DOI arXiv OpenURL
Boichenko, A. M. The cosmological constant as a consequence of the evolution of space. (English. Russian original) Zbl 1380.83297 Russ. Phys. J. 59, No. 8, 1171-1180 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 8, 40-48 (2016). MSC: 83F05 PDF BibTeX XML Cite \textit{A. M. Boichenko}, Russ. Phys. J. 59, No. 8, 1171--1180 (2016; Zbl 1380.83297); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 8, 40--48 (2016) Full Text: DOI OpenURL
Soffer, Avy; Zhao, Xiaofei A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. (English) Zbl 1364.35341 Physica D 320, 77-88 (2016). MSC: 35Q55 35C08 65L15 65M70 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv OpenURL
Dobrokhotov, S. Yu.; Grushin, V. V.; Sergeev, S. A.; Tirozzi, B. Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections. (English) Zbl 1359.76057 Russ. J. Math. Phys. 23, No. 4, 455-474 (2016). MSC: 76B15 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 23, No. 4, 455--474 (2016; Zbl 1359.76057) Full Text: DOI OpenURL
Klopp, F.; Fedotov, A. A. Stark-Wannier ladders and cubic exponential sums. (English. Russian original) Zbl 1360.34174 Funct. Anal. Appl. 50, No. 3, 233-236 (2016); translation from Funkts. Anal. Prilozh. 50, No. 3, 81-85 (2016). MSC: 34L40 34L05 PDF BibTeX XML Cite \textit{F. Klopp} and \textit{A. A. Fedotov}, Funct. Anal. Appl. 50, No. 3, 233--236 (2016; Zbl 1360.34174); translation from Funkts. Anal. Prilozh. 50, No. 3, 81--85 (2016) Full Text: DOI arXiv OpenURL
Giachetti, Riccardo; Grecchi, Vincenzo Bender-Wu singularities. (English) Zbl 1353.81052 J. Math. Phys. 57, No. 12, 122109, 13 p. (2016). MSC: 81Q10 34L40 34L05 PDF BibTeX XML Cite \textit{R. Giachetti} and \textit{V. Grecchi}, J. Math. Phys. 57, No. 12, 122109, 13 p. (2016; Zbl 1353.81052) Full Text: DOI arXiv OpenURL
Weder, Ricardo Trace formulas for the matrix Schrödinger operator on the half-line with general boundary conditions. (English) Zbl 1351.81050 J. Math. Phys. 57, No. 11, 112101, 11 p. (2016). MSC: 81Q10 34L40 PDF BibTeX XML Cite \textit{R. Weder}, J. Math. Phys. 57, No. 11, 112101, 11 p. (2016; Zbl 1351.81050) Full Text: DOI arXiv OpenURL
Simonov, Sergey Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential. (English) Zbl 1372.47059 Math. Z. 284, No. 1-2, 335-411 (2016). Reviewer: Ekin Uğurlu (Ankara) MSC: 47E05 34B20 34L40 PDF BibTeX XML Cite \textit{S. Simonov}, Math. Z. 284, No. 1--2, 335--411 (2016; Zbl 1372.47059) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V. On small energy stabilization in the NLKG with a trapping potential. (English) Zbl 1356.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32-58 (2016). Reviewer: Michael Reissig (Freiberg) MSC: 35L71 35L15 PDF BibTeX XML Cite \textit{S. Cuccagna} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32--58 (2016; Zbl 1356.35142) Full Text: DOI arXiv OpenURL
Komech, Alexander Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049 Discrete Contin. Dyn. Syst. 36, No. 11, 6201-6256 (2016). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35L70 35Q40 PDF BibTeX XML Cite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI OpenURL
Ortoleva, Cecilia; Noja, Diego; Adami, Riccardo Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. (English) Zbl 1351.35187 Discrete Contin. Dyn. Syst. 36, No. 11, 5837-5879 (2016). MSC: 35Q55 35Q51 37K40 35B40 35B35 PDF BibTeX XML Cite \textit{C. Ortoleva} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 5837--5879 (2016; Zbl 1351.35187) Full Text: DOI OpenURL
Kopylova, Elena On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. (English) Zbl 1350.35103 J. Math. Anal. Appl. 443, No. 2, 1142-1157 (2016). MSC: 35L15 35A01 35A02 PDF BibTeX XML Cite \textit{E. Kopylova}, J. Math. Anal. Appl. 443, No. 2, 1142--1157 (2016; Zbl 1350.35103) Full Text: DOI arXiv OpenURL
Bambusi, D.; Maspero, A. Freezing of energy of a soliton in an external potential. (English) Zbl 1342.35320 Commun. Math. Phys. 344, No. 1, 155-191 (2016). MSC: 35Q55 35C08 PDF BibTeX XML Cite \textit{D. Bambusi} and \textit{A. Maspero}, Commun. Math. Phys. 344, No. 1, 155--191 (2016; Zbl 1342.35320) Full Text: DOI arXiv OpenURL