Maeda, Masaya; Yamazaki, Yohei Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes. (English) Zbl 07806928 J. Differ. Equations 387, 256-298 (2024). MSC: 35Q55 35Q41 35B40 35B35 35A01 35A02 35R01 37K35 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{Y. Yamazaki}, J. Differ. Equations 387, 256--298 (2024; Zbl 07806928) Full Text: DOI arXiv
Maeda, Masaya; Yoneda, Masafumi Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 1522.35473 SUT J. Math. 59, No. 1, 11-32 (2023). MSC: 35Q55 35Q41 37K40 35C08 35B40 35B35 78A60 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{M. Yoneda}, SUT J. Math. 59, No. 1, 11--32 (2023; Zbl 1522.35473) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya; Scrobogna, Stefano Small energy stabilization for 1D nonlinear Klein Gordon equations. (English) Zbl 1508.35142 J. Differ. Equations 350, 52-88 (2023). MSC: 35Q55 35A01 35A02 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., J. Differ. Equations 350, 52--88 (2023; Zbl 1508.35142) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya Asymptotic stability of kink with internal modes under odd perturbation. (English) Zbl 1500.35038 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 1, 47 p. (2023). MSC: 35B40 35L71 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 1, 47 p. (2023; Zbl 1500.35038) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential. (English) Zbl 1503.35208 Commun. Math. Phys. 396, No. 3, 1135-1186 (2022). MSC: 35Q55 35C08 35L71 35B40 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Commun. Math. Phys. 396, No. 3, 1135--1186 (2022; Zbl 1503.35208) Full Text: DOI arXiv
Maeda, Masaya Asymptotic stability of small bound state of nonlinear quantum walks. (English) Zbl 1507.81196 Physica D 439, Article ID 133408, 14 p. (2022). MSC: 81V45 60G50 35B35 35B32 35P15 81U05 PDFBibTeX XMLCite \textit{M. Maeda}, Physica D 439, Article ID 133408, 14 p. (2022; Zbl 1507.81196) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method. (English) Zbl 1490.35406 J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022; Zbl 1490.35406) Full Text: DOI arXiv
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 Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. (English) Zbl 1490.35405 Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021). MSC: 35Q55 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021; Zbl 1490.35405) 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
Maeda, Masaya Stabilization of small solutions of discrete NLS with potential having two eigenvalues. (English) Zbl 1466.35330 Appl. Anal. 100, No. 8, 1603-1633 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q41 35B40 35C08 35B35 81Q05 PDFBibTeX XMLCite \textit{M. Maeda}, Appl. Anal. 100, No. 8, 1603--1633 (2021; Zbl 1466.35330) 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
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
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 On orbital instability of spectrally stable vortices of the NLS in the plane. (English) Zbl 1360.35240 J. Nonlinear Sci. 26, No. 6, 1851-1894 (2016). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Nonlinear Sci. 26, No. 6, 1851--1894 (2016; Zbl 1360.35240) 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
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a trapping potential. (English) Zbl 1307.35276 Discrete Contin. Dyn. Syst. 35, No. 8, 3343-3376 (2015). MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Discrete Contin. Dyn. Syst. 35, No. 8, 3343--3376 (2015; Zbl 1307.35276) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv