Chen, Gong; Jendrej, Jacek Asymptotic stability and classification of multi-solitons for Klein-Gordon equations. (English) Zbl 07793843 Commun. Math. Phys. 405, No. 1, Paper No. 7, 47 p. (2024). MSC: 35B40 35C08 35L72 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Jendrej}, Commun. Math. Phys. 405, No. 1, Paper No. 7, 47 p. (2024; Zbl 07793843) Full Text: DOI arXiv
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. (English) Zbl 1516.35384 Discrete Contin. Dyn. Syst. 43, No. 6, 2137-2185 (2023). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{S. Masaki} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2137--2185 (2023; Zbl 1516.35384) Full Text: DOI arXiv
Liu, Wei; Yuan, Yongjun; Zhao, Xiaofei Computing the action ground state for the rotating nonlinear Schrödinger equation. (English) Zbl 1514.35129 SIAM J. Sci. Comput. 45, No. 2, A397-A426 (2023). MSC: 35J10 35Q55 65N12 PDFBibTeX XMLCite \textit{W. Liu} et al., SIAM J. Sci. Comput. 45, No. 2, A397--A426 (2023; Zbl 1514.35129) Full Text: DOI arXiv
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions. (English) Zbl 1502.37084 Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022). MSC: 37L65 37L05 37L25 37K06 37K40 PDFBibTeX XMLCite \textit{J. Zhang}, Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022; Zbl 1502.37084) Full Text: DOI arXiv
Kopylova, Elena Global attractor for 3D Dirac equation with nonlinear point interaction. (English) Zbl 1485.35055 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022). MSC: 35B40 35B41 35Q41 PDFBibTeX XMLCite \textit{E. Kopylova}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022; Zbl 1485.35055) Full Text: DOI
Maeda, Masaya; Sasaki, Hironobu; Segawa, Etsuo; Suzuki, Akito; Suzuki, Kanako Dispersive estimates for quantum walks on 1D lattice. (English) Zbl 1485.35329 J. Math. Soc. Japan 74, No. 1, 217-246 (2022). Reviewer: Nelson Faustino (Alfeizerão) MSC: 35Q41 81U30 82B41 PDFBibTeX XMLCite \textit{M. Maeda} et al., J. Math. Soc. Japan 74, No. 1, 217--246 (2022; Zbl 1485.35329) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Frank, Rupert L.; Gang, Zhou A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations. (English) Zbl 1445.35128 J. Funct. Anal. 279, No. 7, Article ID 108631, 42 p. (2020). MSC: 35G55 35Q55 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{Z. Gang}, J. Funct. Anal. 279, No. 7, Article ID 108631, 42 p. (2020; Zbl 1445.35128) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI
Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. (English) Zbl 1447.35299 Anal. PDE 13, No. 4, 1099-1128 (2020). MSC: 35Q55 35B35 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{S. Masaki} et al., Anal. PDE 13, No. 4, 1099--1128 (2020; Zbl 1447.35299) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Naumkin, Ivan; Raphaël, Pierre On traveling waves of the nonlinear Schrödinger equation escaping a potential well. (English) Zbl 1437.35194 Ann. Henri Poincaré 21, No. 5, 1677-1758 (2020). MSC: 35J10 35Q55 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{P. Raphaël}, Ann. Henri Poincaré 21, No. 5, 1677--1758 (2020; Zbl 1437.35194) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 268, No. 10, 6416--6480 (2020; Zbl 1439.35439) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. E. Martínez}, Nonlinearity 33, No. 3, 1156--1182 (2020; Zbl 1434.35185) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On stability of small solitons of the 1-D NLS with a trapping delta potential. (English) Zbl 1428.35430 SIAM J. Math. Anal. 51, No. 6, 4311-4331 (2019). MSC: 35Q41 35B35 35C08 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, SIAM J. Math. Anal. 51, No. 6, 4311--4331 (2019; Zbl 1428.35430) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{D. Borthwick} et al., SIAM J. Math. Anal. 51, No. 5, 3854--3901 (2019; Zbl 1428.35486) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Q. Deng} et al., SIAM J. Math. Anal. 50, No. 5, 5243--5292 (2018; Zbl 1428.35500) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Kirr}, Fields Inst. Commun. 79, 59--88 (2017; Zbl 1397.35160) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Maeda}, SIAM J. Math. Anal. 49, No. 5, 3396--3426 (2017; Zbl 1375.35501) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Ortoleva} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 5837--5879 (2016; Zbl 1351.35187) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Tarulli}, J. Math. Anal. Appl. 436, No. 2, 1332--1368 (2016; Zbl 1334.35264) Full Text: DOI arXiv
De Bièvre, Stephan; Genoud, François; Nodari, Simona Rota Orbital stability: analysis meets geometry. (English) Zbl 1347.37122 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 147-273 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K45 37K05 37J25 37-01 35Q55 PDFBibTeX XMLCite \textit{S. De Bièvre} et al., Lect. Notes Math. 2146, 147--273 (2015; Zbl 1347.37122) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Gravejat} and \textit{D. Smets}, Proc. Lond. Math. Soc. (3) 111, No. 2, 305--353 (2015; Zbl 1326.35346) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) Full Text: DOI arXiv
Beceanu, Marius A center-stable manifold for the energy-critical wave equation in \(\mathbb{R}^{3}\) in the symmetric setting. (English) Zbl 1315.35129 J. Hyperbolic Differ. Equ. 11, No. 3, 437-476 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35B44 35C08 37K40 35B40 PDFBibTeX XMLCite \textit{M. Beceanu}, J. Hyperbolic Differ. Equ. 11, No. 3, 437--476 (2014; Zbl 1315.35129) Full Text: DOI arXiv
Komech, A.; Kopylova, E. On eigenfunction expansion of solutions to the Hamilton equations. (English) Zbl 1300.34195 J. Stat. Phys. 154, No. 1-2, 503-521 (2014). Reviewer: Zaki El Mehi (Alexandria) MSC: 34L10 83A05 34A30 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, J. Stat. Phys. 154, No. 1--2, 503--521 (2014; Zbl 1300.34195) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) Full Text: DOI arXiv
Green, William R. Time decay estimates for the wave equation with potential in dimension two. (English) Zbl 1297.35035 J. Differ. Equations 257, No. 3, 868-919 (2014). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L15 35B34 47A10 PDFBibTeX XMLCite \textit{W. R. Green}, J. Differ. Equations 257, No. 3, 868--919 (2014; Zbl 1297.35035) Full Text: DOI arXiv
Cuccagna, Scipio; Pelinovsky, Dmitry E. The asymptotic stability of solitons in the cubic NLS equation on the line. (English) Zbl 1457.35067 Appl. Anal. 93, No. 4, 791-822 (2014). MSC: 35Q55 37K15 37K35 37K40 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{D. E. Pelinovsky}, Appl. Anal. 93, No. 4, 791--822 (2014; Zbl 1457.35067) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Spectr. Theory 3, No. 4, 485--503 (2013; Zbl 1295.35063) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. Adami} et al., J. Math. Phys. 54, No. 1, 013501, 33 p. (2013; Zbl 1322.35122) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
Erdoğan, M. Burak; Green, William R. A weighted dispersive estimate for Schrödinger operators in dimension two. (English) Zbl 1272.35053 Commun. Math. Phys. 319, No. 3, 791-811 (2013). Reviewer: James Bernard Kennedy (Ulm) MSC: 35B45 35J10 35P10 35B40 47D06 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 319, No. 3, 791--811 (2013; Zbl 1272.35053) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid
Boussaid, Nabile; Cuccagna, Scipio On stability of standing waves of nonlinear Dirac equations. (English) Zbl 1251.35098 Commun. Partial Differ. Equations 37, No. 4-6, 1001-1056 (2012). MSC: 35Q41 35B35 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{S. Cuccagna}, Commun. Partial Differ. Equations 37, No. 4--6, 1001--1056 (2012; Zbl 1251.35098) Full Text: DOI arXiv
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng Small solutions of nonlinear Schrödinger equations near first excited states. (English) Zbl 1244.35136 J. Funct. Anal. 263, No. 3, 703-781 (2012). MSC: 35Q55 81Q05 35P05 PDFBibTeX XMLCite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv
Nakanishi, K.; Schlag, W. Global dynamics above the ground state energy for the cubic NLS equation in 3D. (English) Zbl 1237.35148 Calc. Var. Partial Differ. Equ. 44, No. 1-2, 1-45 (2012). MSC: 35Q55 37K40 37K45 35P15 37D10 PDFBibTeX XMLCite \textit{K. Nakanishi} and \textit{W. Schlag}, Calc. Var. Partial Differ. Equ. 44, No. 1--2, 1--45 (2012; Zbl 1237.35148) Full Text: DOI arXiv
Ferreira, Lucas C. F.; Villamizar-Roa, Elder J. Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions. (English) Zbl 1236.35164 Physica D 241, No. 5, 534-542 (2012). MSC: 35Q55 35C06 35B40 35B06 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} and \textit{E. J. Villamizar-Roa}, Physica D 241, No. 5, 534--542 (2012; Zbl 1236.35164) Full Text: DOI
Imaykin, Valery; Komech, Alexander; Vainberg, Boris Scattering of solitons for coupled wave-particle equations. (English) Zbl 1235.35068 J. Math. Anal. Appl. 389, No. 2, 713-740 (2012). MSC: 35C08 35L10 37K40 35Q40 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link
Beceanu, Marius A critical center-stable manifold for Schrödinger’s equation in three dimensions. (English) Zbl 1234.35240 Commun. Pure Appl. Math. 65, No. 4, 431-507 (2012). MSC: 35Q55 35C08 35J62 81Q05 PDFBibTeX XMLCite \textit{M. Beceanu}, Commun. Pure Appl. Math. 65, No. 4, 431--507 (2012; Zbl 1234.35240) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Spohn, Herbert Scattering asymptotics for a charged particle coupled to the Maxwell field. (English) Zbl 1316.78002 J. Math. Phys. 52, No. 4, 042701, 33 p. (2011). MSC: 78A35 78A60 35C08 78A40 28C20 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Phys. 52, No. 4, 042701, 33 p. (2011; Zbl 1316.78002) Full Text: DOI arXiv Link
Demirkaya, Aslihan; Stanislavova, Milena Conditional stability theorem for the one dimensional Klein-Gordon equation. (English) Zbl 1272.81056 J. Math. Phys. 52, No. 11, 112703, 20 p. (2011). MSC: 81Q05 34L40 34D35 PDFBibTeX XMLCite \textit{A. Demirkaya} and \textit{M. Stanislavova}, J. Math. Phys. 52, No. 11, 112703, 20 p. (2011; Zbl 1272.81056) Full Text: DOI Link
Kopylova, E.; Komech, A. I. On asymptotic stability of kink for relativistic Ginzburg-Landau equations. (English) Zbl 1256.35146 Arch. Ration. Mech. Anal. 202, No. 1, 213-245 (2011). MSC: 35Q56 35Q75 83A05 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. I. Komech}, Arch. Ration. Mech. Anal. 202, No. 1, 213--245 (2011; Zbl 1256.35146) Full Text: DOI arXiv
Cuccagna, Scipio The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states. (English) Zbl 1222.35183 Commun. Math. Phys. 305, No. 2, 279-331 (2011). MSC: 35Q55 35B40 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Math. Phys. 305, No. 2, 279--331 (2011; Zbl 1222.35183) Full Text: DOI arXiv
Cuccagna, Scipio; Visciglia, Nicola On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. (English) Zbl 1298.35191 Trans. Am. Math. Soc. 363, No. 5, 2357-2391 (2011). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{N. Visciglia}, Trans. Am. Math. Soc. 363, No. 5, 2357--2391 (2011; Zbl 1298.35191) Full Text: DOI arXiv
Kopylova, E. A.; Komech, A. I. On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. (English) Zbl 1209.35134 Commun. Math. Phys. 302, No. 1, 225-252 (2011). MSC: 35Q56 35Q75 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Commun. Math. Phys. 302, No. 1, 225--252 (2011; Zbl 1209.35134) Full Text: DOI arXiv
Kopylova, E. A. On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1207.39021 Appl. Anal. 89, No. 9, 1467-1492 (2010). Reviewer: Fei Xue (Hartford) MSC: 39A30 39A14 39A12 35Q40 81Q05 37K10 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Appl. Anal. 89, No. 9, 1467--1492 (2010; Zbl 1207.39021) Full Text: DOI
Kopylova, E. A.; Komech, A. I. Long time decay for 2D Klein-Gordon equation. (English) Zbl 1192.35151 J. Funct. Anal. 259, No. 2, 477-502 (2010). MSC: 35Q53 35Q40 81Q05 35B40 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, J. Funct. Anal. 259, No. 2, 477--502 (2010; Zbl 1192.35151) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI
Komech, Alexander; Komech, Andrew On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. (English) Zbl 1180.35124 J. Math. Pures Appl. (9) 93, No. 1, 91-111 (2010). MSC: 35B41 37K40 37L30 37N20 81Q05 35C05 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, J. Math. Pures Appl. (9) 93, No. 1, 91--111 (2010; Zbl 1180.35124) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 3D Klein-Gordon equation. (English) Zbl 1185.35023 J. Differ. Equations 248, No. 3, 501-520 (2010). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35B40 35L15 47A40 35J10 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Differ. Equations 248, No. 3, 501--520 (2010; Zbl 1185.35023) Full Text: DOI arXiv
Kirr, E.; Mızrak, Ö. Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1187.35238 J. Funct. Anal. 257, No. 12, 3691-3747 (2009). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q55 81Q10 35B35 35B40 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{Ö. Mızrak}, J. Funct. Anal. 257, No. 12, 3691--3747 (2009; Zbl 1187.35238) Full Text: DOI arXiv
Squassina, Marco Soliton dynamics for the nonlinear Schrödinger equation with magnetic field. (English) Zbl 1179.81066 Manuscr. Math. 130, No. 4, 461-494 (2009). MSC: 81Q05 35Q40 35Q51 35Q55 37K40 37K45 PDFBibTeX XMLCite \textit{M. Squassina}, Manuscr. Math. 130, No. 4, 461--494 (2009; Zbl 1179.81066) Full Text: DOI arXiv
Cuccagna, Scipio; Tarulli, Mirko On asymptotic stability in energy space of ground states of NLS in 2D. (English) Zbl 1171.35470 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1361-1386 (2009). MSC: 35Q55 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Tarulli}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1361--1386 (2009; Zbl 1171.35470) Full Text: DOI arXiv EuDML
Kopylova, E. A. On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1167.35515 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3031-3046 (2009). MSC: 35Q55 37K40 39A12 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 3031--3046 (2009; Zbl 1167.35515) Full Text: DOI
Komech, Alexander; Komech, Andrew Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. (English) Zbl 1177.35201 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855-868 (2009). MSC: 35Q53 37K10 35Q51 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855--868 (2009; Zbl 1177.35201) Full Text: DOI arXiv EuDML
Kirr, E.; Zarnescu, A. Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1171.35112 J. Differ. Equations 247, No. 3, 710-735 (2009). MSC: 35Q55 35B40 35B35 35B45 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{A. Zarnescu}, J. Differ. Equations 247, No. 3, 710--735 (2009; Zbl 1171.35112) Full Text: DOI arXiv
Kopylova, E. A. Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1186.35205 Russ. J. Math. Phys. 15, No. 4, 487-492 (2008). MSC: 35Q55 35C08 35B40 35B35 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 15, No. 4, 487--492 (2008; Zbl 1186.35205) Full Text: DOI arXiv
Goodman, Roy H.; Weinstein, Michael I. Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. (English) Zbl 1153.78325 Physica D 237, No. 21, 2731-2760 (2008). MSC: 78A60 35Q55 78A40 PDFBibTeX XMLCite \textit{R. H. Goodman} and \textit{M. I. Weinstein}, Physica D 237, No. 21, 2731--2760 (2008; Zbl 1153.78325) Full Text: DOI arXiv
Cuccagna, Scipio; Mizumachi, Tetsu On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. (English) Zbl 1155.35092 Commun. Math. Phys. 284, No. 1, 51-77 (2008). MSC: 35Q55 35B35 35B40 81Q05 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{T. Mizumachi}, Commun. Math. Phys. 284, No. 1, 51--77 (2008; Zbl 1155.35092) Full Text: DOI arXiv
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv
Beceanu, Marius A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\). (English) Zbl 1148.35082 Commun. Math. Phys. 280, No. 1, 145-205 (2008). MSC: 35Q55 35Q51 37L10 PDFBibTeX XMLCite \textit{M. Beceanu}, Commun. Math. Phys. 280, No. 1, 145--205 (2008; Zbl 1148.35082) Full Text: DOI arXiv
Cuccagna, Scipio On asymptotic stability in energy space of ground states of NLS in 1D. (English) Zbl 1185.35251 J. Differ. Equations 245, No. 3, 653-691 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna}, J. Differ. Equations 245, No. 3, 653--691 (2008; Zbl 1185.35251) Full Text: DOI arXiv Numdam
Zhou, Gang Perturbation expansion and \(N\)th order Fermi golden rule of the nonlinear Schrödinger equations. (English) Zbl 1144.81430 J. Math. Phys. 48, No. 5, 053509, 23 p. (2007). MSC: 47N50 35Q55 81Q15 PDFBibTeX XMLCite \textit{G. Zhou}, J. Math. Phys. 48, No. 5, 053509, 23 p. (2007; Zbl 1144.81430) Full Text: DOI
Kirr, E.; Zarnescu, A. On the asymptotic stability of bound states in 2D cubic Schrödinger equation. (English) Zbl 1194.35416 Commun. Math. Phys. 272, No. 2, 443-468 (2007). Reviewer: Heinz Siedentop (München) MSC: 35Q55 35B35 81Q05 35B41 37L30 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{A. Zarnescu}, Commun. Math. Phys. 272, No. 2, 443--468 (2007; Zbl 1194.35416) Full Text: DOI arXiv
Gang, Zhou; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. (English) Zbl 1126.35065 Adv. Math. 216, No. 2, 443-490 (2007). MSC: 35Q55 37K45 81R12 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Adv. Math. 216, No. 2, 443--490 (2007; Zbl 1126.35065) Full Text: DOI arXiv
Komech, Alexander; Komech, Andrew Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. (English) Zbl 1131.35003 Arch. Ration. Mech. Anal. 185, No. 1, 105-142 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B41 35Q40 81T10 37L30 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Arch. Ration. Mech. Anal. 185, No. 1, 105--142 (2007; Zbl 1131.35003) Full Text: DOI arXiv
Erdoğan, M. Burak; Schlag, Wilhelm Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. (English) Zbl 1146.35324 J. Anal. Math. 99, 199-248 (2006). MSC: 35B45 47D06 35Q40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. Schlag}, J. Anal. Math. 99, 199--248 (2006; Zbl 1146.35324) Full Text: DOI arXiv
Boussaid, Nabile Stable directions for small nonlinear Dirac standing waves. (English) Zbl 1127.35060 Commun. Math. Phys. 268, No. 3, 757-817 (2006). MSC: 35Q55 37K45 81Q05 35P25 PDFBibTeX XMLCite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv
Imaikin, Valery; Komech, Alexander; Vainberg, Boris On scattering of solitons for the Klein-Gordon equation coupled to a particle. (English) Zbl 1127.35054 Commun. Math. Phys. 268, No. 2, 321-367 (2006). MSC: 35Q40 81U05 37K40 35P25 35Q51 35L70 PDFBibTeX XMLCite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv
Krieger, J.; Schlag, W. Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. (English) Zbl 1281.35077 J. Am. Math. Soc. 19, No. 4, 815-920 (2006). MSC: 35Q55 35Q51 37K40 37K45 PDFBibTeX XMLCite \textit{J. Krieger} and \textit{W. Schlag}, J. Am. Math. Soc. 19, No. 4, 815--920 (2006; Zbl 1281.35077) Full Text: DOI
Cuccagna, Scipio Stability of standing waves for NLS with perturbed Lamé potential. (English) Zbl 1115.35120 J. Differ. Equations 223, No. 1, 112-160 (2006). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q55 37K45 37K15 PDFBibTeX XMLCite \textit{S. Cuccagna}, J. Differ. Equations 223, No. 1, 112--160 (2006; Zbl 1115.35120) Full Text: DOI
Gustafson, S.; Sigal, I. M. Effective dynamics of magnetic vortices. (English) Zbl 1081.35102 Adv. Math. 199, No. 2, 448-498 (2006). MSC: 35Q55 82D55 82C26 PDFBibTeX XMLCite \textit{S. Gustafson} and \textit{I. M. Sigal}, Adv. Math. 199, No. 2, 448--498 (2006; Zbl 1081.35102) Full Text: DOI arXiv
Cuccagna, S.; Kirr, E.; Pelinovsky, D. Parametric resonance of ground states in the nonlinear Schrödinger equation. (English) Zbl 1081.35101 J. Differ. Equations 220, No. 1, 85-120 (2006). MSC: 35Q55 35B40 81Q10 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., J. Differ. Equations 220, No. 1, 85--120 (2006; Zbl 1081.35101) Full Text: DOI
Gang, Zhou; Sigal, I. M. Asymptotic stability of nonlinear Schrödinger equations with potential. (English) Zbl 1086.82013 Rev. Math. Phys. 17, No. 10, 1143-1207 (2005). Reviewer: David Jou (Bellaterra) MSC: 82C20 35Q55 37K45 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Rev. Math. Phys. 17, No. 10, 1143--1207 (2005; Zbl 1086.82013) Full Text: DOI arXiv
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. Solitary wave dynamics in an external potential. (English) Zbl 1075.35075 Commun. Math. Phys. 250, No. 3, 613-642 (2004). MSC: 35Q55 35Q51 37K25 37K40 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 250, No. 3, 613--642 (2004; Zbl 1075.35075) Full Text: DOI arXiv
Perelman, Galina Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. (English) Zbl 1067.35113 Commun. Partial Differ. Equations 29, No. 7-8, 1051-1095 (2004). Reviewer: Min Ho Lee (Cedar Falls) MSC: 35Q55 37K40 35K45 PDFBibTeX XMLCite \textit{G. Perelman}, Commun. Partial Differ. Equations 29, No. 7--8, 1051--1095 (2004; Zbl 1067.35113) Full Text: DOI arXiv
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. Strong NLS soliton-defect interactions. (English) Zbl 1061.35132 Physica D 192, No. 3-4, 215-248 (2004). MSC: 35Q55 37K40 37K05 PDFBibTeX XMLCite \textit{R. H. Goodman} et al., Physica D 192, No. 3--4, 215--248 (2004; Zbl 1061.35132) Full Text: DOI arXiv
Mizumachi, Tetsu Asymptotic stability of solitary wave solutions to the regularized long-wave equation. (English) Zbl 1053.35119 J. Differ. Equations 200, No. 2, 312-341 (2004). MSC: 35Q35 76B25 PDFBibTeX XMLCite \textit{T. Mizumachi}, J. Differ. Equations 200, No. 2, 312--341 (2004; Zbl 1053.35119) Full Text: DOI
Tsai, Tai-Peng Asymptotic dynamics of nonlinear Schrödinger equations with many bound states. (English) Zbl 1038.35128 J. Differ. Equations 192, No. 1, 225-282 (2003). Reviewer: Andrew Pickering (Salamanca) MSC: 35Q55 35Q40 81Q05 PDFBibTeX XMLCite \textit{T.-P. Tsai}, J. Differ. Equations 192, No. 1, 225--282 (2003; Zbl 1038.35128) Full Text: DOI arXiv
Weder, Ricardo The \(L^{p}\)-\(L^{p'}\) estimate for the Schrödinger equation on the half-line. (English) Zbl 1032.34081 J. Math. Anal. Appl. 281, No. 1, 233-243 (2003). Reviewer: Horst Behncke (Osnabrück) MSC: 34L40 PDFBibTeX XMLCite \textit{R. Weder}, J. Math. Anal. Appl. 281, No. 1, 233--243 (2003; Zbl 1032.34081) Full Text: DOI arXiv
Buslaev, Vladimir S.; Sulem, Catherine On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1028.35139 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419-475 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K40 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{C. Sulem}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419--475 (2003; Zbl 1028.35139) Full Text: DOI Numdam EuDML
Tsai, Tai-Peng; Yau, Horng-Tzer Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. (English) Zbl 1031.35137 Commun. Pure Appl. Math. 55, No. 2, 153-216 (2002). Reviewer: T.A.Jangveladze (Tbilisi) MSC: 35Q55 35P25 81Q05 PDFBibTeX XMLCite \textit{T.-P. Tsai} and \textit{H.-T. Yau}, Commun. Pure Appl. Math. 55, No. 2, 153--216 (2002; Zbl 1031.35137) Full Text: DOI arXiv
Cuccagna, Scipio Stabilization of solutions to nonlinear Schrödinger equations. (English) Zbl 1031.35129 Commun. Pure Appl. Math. 54, No. 9, 1110-1145 (2001); erratum ibid. 58, No. 1, 147 (2004). Reviewer: T.A.Jangveladze (Tbilisi) MSC: 35Q55 35B35 93D15 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Pure Appl. Math. 54, No. 9, 1110--1145 (2001; Zbl 1031.35129) Full Text: DOI
Komech, Alexander On transitions to stationary states in Hamiltonian nonlinear wave equations. (English) Zbl 0930.35108 Phys. Lett., A 241, No. 6, 311-322 (1998). MSC: 35L70 35B40 35L30 37K05 35Q60 PDFBibTeX XMLCite \textit{A. Komech}, Phys. Lett., A 241, No. 6, 311--322 (1998; Zbl 0930.35108) Full Text: DOI
Tian, Lixin; Liu, Zengrong The Schrödinger operator. (English) Zbl 0889.46023 Proc. Am. Math. Soc. 126, No. 1, 203-211 (1998). MSC: 46C50 47A20 47B44 81Q05 47B39 PDFBibTeX XMLCite \textit{L. Tian} and \textit{Z. Liu}, Proc. Am. Math. Soc. 126, No. 1, 203--211 (1998; Zbl 0889.46023) Full Text: DOI
Weder, Ricardo Inverse scattering for the nonlinear Schrödinger equation. (English) Zbl 0955.35077 Commun. Partial Differ. Equations 22, No. 11-12, 2089-2103 (1997). MSC: 35R30 35Q55 35P25 81U40 PDFBibTeX XMLCite \textit{R. Weder}, Commun. Partial Differ. Equations 22, No. 11--12, 2089--2103 (1997; Zbl 0955.35077) Full Text: DOI
Miller, Judith R. Spectral properties and time decay for an Airy operator with potential. (English) Zbl 0902.35017 J. Differ. Equations 141, No. 1, 102-121 (1997). Reviewer: W.Lamb (Glasgow) MSC: 35B40 35Q53 47D06 PDFBibTeX XMLCite \textit{J. R. Miller}, J. Differ. Equations 141, No. 1, 102--121 (1997; Zbl 0902.35017) Full Text: DOI
Pillet, Claude-Alain; Wayne, C. Eugene Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations. (English) Zbl 0890.35016 J. Differ. Equations 141, No. 2, 310-326 (1997). Reviewer: L.Recke (Berlin) MSC: 35B40 35Q55 35G25 PDFBibTeX XMLCite \textit{C.-A. Pillet} and \textit{C. E. Wayne}, J. Differ. Equations 141, No. 2, 310--326 (1997; Zbl 0890.35016) Full Text: DOI Link
Weinstein, M. I.; Xin, J. Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. (English) Zbl 0872.35105 Commun. Math. Phys. 180, No. 2, 389-428 (1996). MSC: 35Q55 35Q35 82D55 PDFBibTeX XMLCite \textit{M. I. Weinstein} and \textit{J. Xin}, Commun. Math. Phys. 180, No. 2, 389--428 (1996; Zbl 0872.35105) Full Text: DOI
Tian, Lixin The maximum dissipative extension of Schrödinger operator. (English) Zbl 0832.58021 Appl. Math. Mech., Engl. Ed. 15, No. 10, 973-980 (1994). MSC: 37J35 37K10 35Q55 PDFBibTeX XMLCite \textit{L. Tian}, Appl. Math. Mech., Engl. Ed. 15, No. 10, 973--980 (1994; Zbl 0832.58021) Full Text: DOI