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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv OpenURL
Wu, Yilun Simplicity and finiteness of discrete spectrum of the Benjamin-Ono scattering operator. (English) Zbl 1338.35321 SIAM J. Math. Anal. 48, No. 2, 1348-1367 (2016). Reviewer: Petru A. Cojuhari (Kraków) MSC: 35P25 47A40 PDF BibTeX XML Cite \textit{Y. Wu}, SIAM J. Math. Anal. 48, No. 2, 1348--1367 (2016; Zbl 1338.35321) Full Text: DOI arXiv OpenURL
Anjos, R. C.; Freitas, G. B.; Coimbra-Araújo, C. H. Analytical solutions of the Fokker-Planck equation for generalized Morse and Hulthén potentials. (English) Zbl 1334.35350 J. Stat. Phys. 162, No. 2, 387-396 (2016). MSC: 35Q84 82C31 81Q05 PDF BibTeX XML Cite \textit{R. C. Anjos} et al., J. Stat. Phys. 162, No. 2, 387--396 (2016; Zbl 1334.35350) Full Text: DOI OpenURL
Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for the discrete Laguerre operator. (English) Zbl 1334.35265 Lett. Math. Phys. 106, No. 4, 545-555 (2016). MSC: 35Q41 47B36 81U30 81Q05 PDF BibTeX XML Cite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv OpenURL
Coles, Matt; Gustafson, Stephen A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation. (English) Zbl 1335.35229 Discrete Contin. Dyn. Syst. 36, No. 6, 2991-3009 (2016). MSC: 35Q55 35P15 35B32 PDF BibTeX XML Cite \textit{M. Coles} and \textit{S. Gustafson}, Discrete Contin. Dyn. Syst. 36, No. 6, 2991--3009 (2016; Zbl 1335.35229) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Tarulli, Mirko On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential. (English) Zbl 1334.35264 J. Math. Anal. Appl. 436, No. 2, 1332-1368 (2016). MSC: 35Q41 35B32 35Q55 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Tarulli}, J. Math. Anal. Appl. 436, No. 2, 1332--1368 (2016; Zbl 1334.35264) Full Text: DOI arXiv OpenURL
Jenkinson, M.; Weinstein, M. I. Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. (English) Zbl 1357.37087 Nonlinearity 29, No. 1, 27-86 (2016). MSC: 37L60 39A22 35Q55 39A14 PDF BibTeX XML Cite \textit{M. Jenkinson} and \textit{M. I. Weinstein}, Nonlinearity 29, No. 1, 27--86 (2016; Zbl 1357.37087) Full Text: DOI arXiv OpenURL
Tentarelli, Lorenzo NLS ground states on metric graphs with localized nonlinearities. (English) Zbl 1321.05278 J. Math. Anal. Appl. 433, No. 1, 291-304 (2016). MSC: 05C85 05C12 05C35 35Q55 PDF BibTeX XML Cite \textit{L. Tentarelli}, J. Math. Anal. Appl. 433, No. 1, 291--304 (2016; Zbl 1321.05278) Full Text: DOI arXiv OpenURL
Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates. (English) Zbl 1343.34197 Proc. Am. Math. Soc., Ser. B 2, 51-59 (2015). Reviewer: Jonathan Eckhardt (Wien) MSC: 34L25 35Q41 81U30 34L40 PDF BibTeX XML Cite \textit{I. Egorova} et al., Proc. Am. Math. Soc., Ser. B 2, 51--59 (2015; Zbl 1343.34197) Full Text: DOI arXiv OpenURL
Radkevich, E. V. The Bloch principle for \(L_2(R)\) stabilization of solutions to the Cauchy problem for the Carleman equation. (English. Russian original) Zbl 1337.35082 J. Math. Sci., New York 210, No. 5, 677-735 (2015); translation from Probl. Mat. Anal. 82, 111-163 (2015). MSC: 35L45 35L60 35B25 PDF BibTeX XML Cite \textit{E. V. Radkevich}, J. Math. Sci., New York 210, No. 5, 677--735 (2015; Zbl 1337.35082); translation from Probl. Mat. Anal. 82, 111--163 (2015) Full Text: DOI OpenURL
Krueger, August J.; Soffer, Avy Structure of noncommutative solitons: existence and spectral theory. (English) Zbl 1327.35328 Lett. Math. Phys. 105, No. 10, 1377-1398 (2015). MSC: 35Q40 35Q55 39A05 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Lett. Math. Phys. 105, No. 10, 1377--1398 (2015; Zbl 1327.35328) Full Text: DOI arXiv OpenURL
Iftimie, Viorel; Purice, Radu The Peierls-Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum. (English) Zbl 1329.35367 J. Spectr. Theory 5, No. 3, 445-531 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 35S05 81Q10 81Q15 47G30 35Q40 PDF BibTeX XML Cite \textit{V. Iftimie} and \textit{R. Purice}, J. Spectr. Theory 5, No. 3, 445--531 (2015; Zbl 1329.35367) Full Text: DOI arXiv OpenURL
Gravejat, Philippe; Smets, Didier Asymptotic stability of the black soliton for the Gross-Pitaevskii equation. (English) Zbl 1326.35346 Proc. Lond. Math. Soc. (3) 111, No. 2, 305-353 (2015). Reviewer: Santosh Bhattarai (Buffalo) MSC: 35Q55 35B35 35B40 35C08 35C07 PDF BibTeX XML Cite \textit{P. Gravejat} and \textit{D. Smets}, Proc. Lond. Math. Soc. (3) 111, No. 2, 305--353 (2015; Zbl 1326.35346) Full Text: DOI OpenURL
Fedotov, Alexander; Sandomirskiy, Fedor An exact renormalization formula for the Maryland model. (English) Zbl 1312.39006 Commun. Math. Phys. 334, No. 2, 1083-1099 (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 39A10 39A45 35Q41 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Sandomirskiy}, Commun. Math. Phys. 334, No. 2, 1083--1099 (2015; Zbl 1312.39006) Full Text: DOI arXiv OpenURL
Schimmer, Lukas Spectral inequalities for Jacobi operators and related sharp Lieb-Thirring inequalities on the continuum. (English) Zbl 1317.35155 Commun. Math. Phys. 334, No. 1, 473-505 (2015). Reviewer: Leonid Golinskii (Kharkov) MSC: 35P15 47B36 PDF BibTeX XML Cite \textit{L. Schimmer}, Commun. Math. Phys. 334, No. 1, 473--505 (2015; Zbl 1317.35155) Full Text: DOI arXiv OpenURL
Gell-Redman, Jesse; Hassell, Andrew; Zelditch, Steve Equidistribution of phase shifts in semiclassical potential scattering. (English) Zbl 1323.35121 J. Lond. Math. Soc., II. Ser. 91, No. 1, 159-179 (2015). Reviewer: Sönke Hansen (Paderborn) MSC: 35P25 35P20 PDF BibTeX XML Cite \textit{J. Gell-Redman} et al., J. Lond. Math. Soc., II. Ser. 91, No. 1, 159--179 (2015; Zbl 1323.35121) Full Text: DOI arXiv OpenURL
Budylin, A. M.; Buslaev, V. S. Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original) Zbl 1307.35179 Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q55 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 48, No. 1, 1--14 (2014; Zbl 1307.35179); translation from Funkts. Anal. Prilozh. 48, No. 1, 1--18 (2014) Full Text: DOI OpenURL
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit. (English) Zbl 1303.81072 Lett. Math. Phys. 104, No. 12, 1557-1570 (2014). MSC: 81Q05 35B25 35B35 35Q55 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., Lett. Math. Phys. 104, No. 12, 1557--1570 (2014; Zbl 1303.81072) Full Text: DOI arXiv OpenURL
Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. On blowup dynamics in the Keller-Segel model of chemotaxis. (English) Zbl 1326.35049 St. Petersbg. Math. J. 25, No. 4, 547-574 (2014) and Algebra Anal. 25, No. 4, 47-84 (2013). MSC: 35B44 35K51 35K57 35Q84 92C17 PDF BibTeX XML Cite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) Full Text: DOI arXiv OpenURL
Ortoleva, C.; Perelman, G. Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in \(\mathbb R^3\). (English. Russian original) Zbl 1303.35103 St. Petersbg. Math. J. 25, No. 2, 271-294 (2014); translation from Algebra Anal. 25, No. 2, 162-192 (2013). MSC: 35Q55 35B44 PDF BibTeX XML Cite \textit{C. Ortoleva} and \textit{G. Perelman}, St. Petersbg. Math. J. 25, No. 2, 271--294 (2014; Zbl 1303.35103); translation from Algebra Anal. 25, No. 2, 162--192 (2013) Full Text: DOI arXiv OpenURL
Egorova, I.; Pastur, L. Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory. (English. Russian original) Zbl 1304.37054 St. Petersbg. Math. J. 25, No. 2, 223-240 (2014); translation from Algebra Anal. 25, No. 2, 101-124 (2013). Reviewer: Leonid Golinskii (Kharkov) MSC: 37K40 35Q53 37K45 35Q15 PDF BibTeX XML Cite \textit{I. Egorova} and \textit{L. Pastur}, St. Petersbg. Math. J. 25, No. 2, 223--240 (2014; Zbl 1304.37054); translation from Algebra Anal. 25, No. 2, 101--124 (2013) Full Text: DOI OpenURL
Budylin, A. M. Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries. (English. Russian original) Zbl 1311.35174 St. Petersbg. Math. J. 25, No. 2, 205-222 (2014); translation from Algebra Anal. 25, No. 2, 75-100 (2013). MSC: 35Q15 45E10 45E99 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin}, St. Petersbg. Math. J. 25, No. 2, 205--222 (2014; Zbl 1311.35174); translation from Algebra Anal. 25, No. 2, 75--100 (2013) Full Text: DOI OpenURL
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDF BibTeX XML Cite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI OpenURL
Cuccagna, Scipio On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. (English) Zbl 1293.35289 Trans. Am. Math. Soc. 366, No. 6, 2827-2888 (2014). MSC: 35Q55 35B40 35Q51 37K40 PDF BibTeX XML Cite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a non-trapping potential. (English) Zbl 1285.35107 J. Differ. Equations 256, No. 4, 1395-1466 (2014). MSC: 35Q55 35Q51 35B35 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv OpenURL
Babich, V. M. Formal power series and their applications in the mathematical theory of diffraction. (English. Russian original) Zbl 1303.78003 J. Math. Sci., New York 194, No. 1, 1-7 (2013); translation from Zap. Nauchn. Sem. POMI 409, 5-16 (2012). MSC: 78A45 35C20 78M35 PDF BibTeX XML Cite \textit{V. M. Babich}, J. Math. Sci., New York 194, No. 1, 1--7 (2013; Zbl 1303.78003); translation from Zap. Nauchn. Sem. POMI 409, 5--16 (2012) Full Text: DOI OpenURL
Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. On nonlinear wave equations with parabolic potentials. (English) Zbl 1295.35063 J. Spectr. Theory 3, No. 4, 485-503 (2013). MSC: 35B35 37K40 35L71 35C08 35Q56 PDF BibTeX XML Cite \textit{A. I. Komech} et al., J. Spectr. Theory 3, No. 4, 485--503 (2013; Zbl 1295.35063) Full Text: DOI arXiv OpenURL
Kundu, N. R.; Masud, M. M.; Ashrafi, K. S.; Mamun, A. A. Dust-ion-acoustic solitary waves and their multi-dimensional instability in a magnetized nonthermal dusty electronegative plasma. (English) Zbl 1286.76056 Astrophys. Space Sci. 343, No. 1, 279-287 (2013). MSC: 76E20 35Q35 82D10 35C08 85A30 PDF BibTeX XML Cite \textit{N. R. Kundu} et al., Astrophys. Space Sci. 343, No. 1, 279--287 (2013; Zbl 1286.76056) Full Text: DOI OpenURL
Grushin, V. V.; Dobrokhotov, S. Yu.; Sergeev, S. A. Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source. (English. Russian original) Zbl 1293.35279 Proc. Steklov Inst. Math. 281, 161-178 (2013); translation from Tr. Mat. Inst. Steklova 281, 170-187 (2013); corrigendum Proc. Steklov Inst. Math. 288, 265 (2015); translation from Tr. Mat. Inst. Steklova 288, 287 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q53 35B27 35Q35 76B15 PDF BibTeX XML Cite \textit{V. V. Grushin} et al., Proc. Steklov Inst. Math. 281, 161--178 (2013; Zbl 1293.35279); translation from Tr. Mat. Inst. Steklova 281, 170--187 (2013); corrigendum Proc. Steklov Inst. Math. 288, 265 (2013) Full Text: DOI OpenURL
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael Hamiltonian dynamics of a particle interacting with a wave field. (English) Zbl 1281.35084 Commun. Partial Differ. Equations 38, No. 12, 2155-2198 (2013). MSC: 35Q70 35B35 70H14 35B40 35C07 PDF BibTeX XML Cite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv OpenURL
Adami, Riccardo; Noja, Diego; Ortoleva, Cecilia Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. (English) Zbl 1322.35122 J. Math. Phys. 54, No. 1, 013501, 33 p. (2013). Reviewer: M. Plum (Karlsruhe) MSC: 35Q55 35J10 35B35 PDF BibTeX XML Cite \textit{R. Adami} et al., J. Math. Phys. 54, No. 1, 013501, 33 p. (2013; Zbl 1322.35122) Full Text: DOI arXiv OpenURL
Kopylova, E. A. Asymptotic stability of solitons for nonlinear hyperbolic equations. (English. Russian original) Zbl 1275.35069 Russ. Math. Surv. 68, No. 2, 283-334 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 91-144 (2013). Reviewer: Marie Kopáčková (Praha) MSC: 35C08 35L71 35Q56 35B40 37K40 35B35 PDF BibTeX XML Cite \textit{E. A. Kopylova}, Russ. Math. Surv. 68, No. 2, 283--334 (2013; Zbl 1275.35069); translation from Usp. Mat. Nauk. 68, No. 2, 91--144 (2013) Full Text: DOI OpenURL
Imaykin, V. M. Soliton asymptotics for systems of ‘field-particle’ type. (English. Russian original) Zbl 1307.35288 Russ. Math. Surv. 68, No. 2, 227-281 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 33-90 (2013). MSC: 35Q60 35Q61 78A35 81U99 37K40 PDF BibTeX XML Cite \textit{V. M. Imaykin}, Russ. Math. Surv. 68, No. 2, 227--281 (2013; Zbl 1307.35288); translation from Usp. Mat. Nauk. 68, No. 2, 33--90 (2013) Full Text: DOI OpenURL
Bambusi, Dario Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. (English) Zbl 1267.35140 Commun. Math. Phys. 320, No. 2, 499-542 (2013). MSC: 35P15 35Q55 35C08 35B06 PDF BibTeX XML Cite \textit{D. Bambusi}, Commun. Math. Phys. 320, No. 2, 499--542 (2013; Zbl 1267.35140) Full Text: DOI arXiv OpenURL
Pelinovsky, Dmitry E.; Stefanov, Atanas Asymptotic stability of small gap solitons in nonlinear Dirac equations. (English) Zbl 1279.35083 J. Math. Phys. 53, No. 7, 073705, 27 p. (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 35Q55 35C08 35C07 35B35 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} and \textit{A. Stefanov}, J. Math. Phys. 53, No. 7, 073705, 27 p. (2012; Zbl 1279.35083) Full Text: DOI arXiv Link OpenURL
Kamvissis, Spyridon; Teschl, Gerald Long-time asymptotics of the periodic Toda lattice under short-range perturbations. (English) Zbl 1301.37055 J. Math. Phys. 53, No. 7, 073706, 35 p. (2012). MSC: 37K40 37K10 37K20 37K60 35Q15 14H52 14H70 PDF BibTeX XML Cite \textit{S. Kamvissis} and \textit{G. Teschl}, J. Math. Phys. 53, No. 7, 073706, 35 p. (2012; Zbl 1301.37055) Full Text: DOI arXiv OpenURL
Green, William R. Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. (English) Zbl 1373.35266 Ill. J. Math. 56, No. 2, 307-341 (2012). MSC: 35Q41 42B20 PDF BibTeX XML Cite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid OpenURL
Buslaev, V. S.; Levin, S. B. A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. (English. Russian original) Zbl 1272.81185 Funct. Anal. Appl. 46, No. 2, 147-151 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 83-88 (2012). MSC: 81U10 81Q10 35P20 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, Funct. Anal. Appl. 46, No. 2, 147--151 (2012; Zbl 1272.81185); translation from Funkts. Anal. Prilozh. 46, No. 2, 83--88 (2012) Full Text: DOI arXiv OpenURL