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
Gagnon, Ludovick Ground state solitary waves local controllability for the nonlinear focusing Schrödinger equation in the mass critical and mass slightly subcritical case. (English) Zbl 1526.93009 J. Differ. Equations 376, 235-282 (2023). MSC: 93B05 93C20 35Q51 35Q55 93C10 PDFBibTeX XMLCite \textit{L. Gagnon}, J. Differ. Equations 376, 235--282 (2023; Zbl 1526.93009) Full Text: DOI
Erdoğan, M. Burak; Green, William R. A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators. (English) Zbl 1525.35084 J. Differ. Equations 355, 144-161 (2023). Reviewer: Denis A. White (Toledo) MSC: 35J10 35J30 47A40 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, J. Differ. Equations 355, 144--161 (2023; Zbl 1525.35084) Full Text: DOI arXiv
Rozendaal, Jan; Schippa, Robert Nonlinear wave equations with slowly decaying initial data. (English) Zbl 1512.42037 J. Differ. Equations 350, 152-188 (2023). Reviewer: Chengbo Wang (Hangzhou) MSC: 42B35 35L05 35B45 PDFBibTeX XMLCite \textit{J. Rozendaal} and \textit{R. Schippa}, J. Differ. Equations 350, 152--188 (2023; Zbl 1512.42037) 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
Li, Yongming; Lührmann, Jonas Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry. (English) Zbl 1503.35201 J. Differ. Equations 344, 172-202 (2023). MSC: 35Q51 35Q53 35B40 35B35 35B06 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Lührmann}, J. Differ. Equations 344, 172--202 (2023; Zbl 1503.35201) Full Text: DOI arXiv
Zhao, Shiliang; Zheng, Quan Continuity of the integral kernel of Schrödinger propagator. (English) Zbl 1504.35159 J. Differ. Equations 341, 189-207 (2022). MSC: 35K08 35J10 35Q41 PDFBibTeX XMLCite \textit{S. Zhao} and \textit{Q. Zheng}, J. Differ. Equations 341, 189--207 (2022; Zbl 1504.35159) Full Text: DOI
Ma, Siyuan Almost Price’s law in Schwarzschild and decay estimates in Kerr for Maxwell field. (English) Zbl 1512.83045 J. Differ. Equations 339, 1-89 (2022). MSC: 83D05 83C57 35Q61 34K21 PDFBibTeX XMLCite \textit{S. Ma}, J. Differ. Equations 339, 1--89 (2022; Zbl 1512.83045) Full Text: DOI arXiv
Huo, Saisai; Wang, Jinhua A large data theory for nonlinear wave on the Schwarzschild background. (English) Zbl 1507.83052 J. Differ. Equations 335, 120-200 (2022). MSC: 83C57 35J91 35L05 15A63 81U05 83C30 83C15 83C10 PDFBibTeX XMLCite \textit{S. Huo} and \textit{J. Wang}, J. Differ. Equations 335, 120--200 (2022; Zbl 1507.83052) Full Text: DOI arXiv
Ding, Shijin; Lin, Zhilin Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate. (English) Zbl 1513.35423 J. Differ. Equations 332, 404-439 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35R35 76D05 76E30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Z. Lin}, J. Differ. Equations 332, 404--439 (2022; Zbl 1513.35423) Full Text: DOI arXiv
Ballesteros, Miguel; Iniesta, Diego; Naumkin, Ivan; Peña, Clemente Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane. (English) Zbl 1507.35229 J. Differ. Equations 321, 66-98done, nur noch checkmatrix und matrixtex (2022). MSC: 35Q53 35Q55 35B40 35P25 PDFBibTeX XMLCite \textit{M. Ballesteros} et al., J. Differ. Equations 321, 66--98done, nur noch checkmatrix und matrixtex (2022; Zbl 1507.35229) Full Text: DOI
Keeler, Blake; Marzuola, Jeremy L. Pointwise dispersive estimates for Schrödinger operators on product cones. (English) Zbl 1486.35159 J. Differ. Equations 320, 419-468 (2022). MSC: 35J10 35R01 35P05 PDFBibTeX XMLCite \textit{B. Keeler} and \textit{J. L. Marzuola}, J. Differ. Equations 320, 419--468 (2022; Zbl 1486.35159) Full Text: DOI arXiv
Gao, Xiaofen; Wang, Jialu; Zhang, Junyong; Zheng, Jiqiang Uniform resolvent estimates for Schrödinger operators in Aharonov-Bohm magnetic fields. (English) Zbl 1471.35245 J. Differ. Equations 292, 70-89 (2021). MSC: 35Q40 35J10 42B37 81V10 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Differ. Equations 292, 70--89 (2021; Zbl 1471.35245) Full Text: DOI
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1455.35212 J. Differ. Equations 271, 152-185 (2021). MSC: 35Q41 35B34 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Differ. Equations 271, 152--185 (2021; Zbl 1455.35212) Full Text: DOI arXiv
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav A reaction network approach to the theory of acoustic wave turbulence. (English) Zbl 1434.35040 J. Differ. Equations 269, No. 5, 4332-4352 (2020). MSC: 35Q20 47G10 82B40 37N25 92C42 37C10 80A30 92D25 PDFBibTeX XMLCite \textit{M.-B. Tran} et al., J. Differ. Equations 269, No. 5, 4332--4352 (2020; Zbl 1434.35040) Full Text: DOI arXiv
Shen, Ruipeng Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\). (English) Zbl 1439.35340 J. Differ. Equations 269, No. 4, 3943-3986 (2020). MSC: 35L71 35L15 35B40 PDFBibTeX XMLCite \textit{R. Shen}, J. Differ. Equations 269, No. 4, 3943--3986 (2020; Zbl 1439.35340) 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
Briet, Philippe; Martinez, André Molecular dynamics at an energy-level crossing. (English) Zbl 1423.35270 J. Differ. Equations 267, No. 10, 5662-5700 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35C20 35S99 45C05 PDFBibTeX XMLCite \textit{P. Briet} and \textit{A. Martinez}, J. Differ. Equations 267, No. 10, 5662--5700 (2019; Zbl 1423.35270) Full Text: DOI arXiv
Hamza, Mohamed Ali; Zaag, Hatem Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation. (English) Zbl 1437.35500 J. Differ. Equations 267, No. 6, 3524-3560 (2019). MSC: 35L71 35L67 35L15 35B44 35B40 35B20 35C08 PDFBibTeX XMLCite \textit{M. A. Hamza} and \textit{H. Zaag}, J. Differ. Equations 267, No. 6, 3524--3560 (2019; Zbl 1437.35500) Full Text: DOI arXiv
Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1429.35059 J. Differ. Equations 267, No. 3, 1899-1954 (2019). Reviewer: Youssef Jabri (Oujda) MSC: 35J10 35J30 PDFBibTeX XMLCite \textit{W. R. Green} and \textit{E. Toprak}, J. Differ. Equations 267, No. 3, 1899--1954 (2019; Zbl 1429.35059) Full Text: DOI arXiv
Chatzikaleas, Athanasios; Donninger, Roland Stable blowup for the cubic wave equation in higher dimensions. (English) Zbl 1415.35200 J. Differ. Equations 266, No. 10, 6809-6865 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L15 35B44 35B45 PDFBibTeX XMLCite \textit{A. Chatzikaleas} and \textit{R. Donninger}, J. Differ. Equations 266, No. 10, 6809--6865 (2019; Zbl 1415.35200) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On coupling kinetic and Schrödinger equations. (English) Zbl 1394.82012 J. Differ. Equations 265, No. 5, 2243-2279 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 82C10 82C22 82C40 35Q20 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, J. Differ. Equations 265, No. 5, 2243--2279 (2018; Zbl 1394.82012) Full Text: DOI arXiv
Kairzhan, Adilbek; Pelinovsky, Dmitry E. Nonlinear instability of half-solitons on star graphs. (English) Zbl 1392.35289 J. Differ. Equations 264, No. 12, 7357-7383 (2018). MSC: 35Q55 35C08 35B38 35B20 81Q35 PDFBibTeX XMLCite \textit{A. Kairzhan} and \textit{D. E. Pelinovsky}, J. Differ. Equations 264, No. 12, 7357--7383 (2018; Zbl 1392.35289) Full Text: DOI arXiv
Forcella, Luigi; Visciglia, Nicola Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions. (English) Zbl 1397.35270 J. Differ. Equations 264, No. 2, 929-958 (2018). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{L. Forcella} and \textit{N. Visciglia}, J. Differ. Equations 264, No. 2, 929--958 (2018; Zbl 1397.35270) Full Text: DOI arXiv
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. (English) Zbl 1351.37258 J. Differ. Equations 259, No. 6, 2180-2279 (2015). MSC: 37K60 35Q70 37J40 37D05 70H08 70K43 PDFBibTeX XMLCite \textit{E. Fontich} et al., J. Differ. Equations 259, No. 6, 2180--2279 (2015; Zbl 1351.37258) 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
Grillo, Gabriele; Kovařík, Hynek Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field. (English) Zbl 1294.35154 J. Differ. Equations 256, No. 12, 3889-3911 (2014). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q60 82C10 35J10 82B44 78A25 78A02 81R15 47D08 PDFBibTeX XMLCite \textit{G. Grillo} and \textit{H. Kovařík}, J. Differ. Equations 256, No. 12, 3889--3911 (2014; Zbl 1294.35154) 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
D’Ancona, Piero; Selberg, Sigmund Dispersive estimate for the 1D Schrödinger equation with a steplike potential. (English) Zbl 1232.35037 J. Differ. Equations 252, No. 2, 1603-1634 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J10 35J05 35Q41 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Selberg}, J. Differ. Equations 252, No. 2, 1603--1634 (2012; Zbl 1232.35037) Full Text: DOI arXiv
Koo, Eva Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in \(\mathbb R^3\). (English) Zbl 1211.35252 J. Differ. Equations 250, No. 8, 3473-3503 (2011). MSC: 35Q55 35B40 35B35 35C08 78A25 35B45 PDFBibTeX XMLCite \textit{E. Koo}, J. Differ. Equations 250, No. 8, 3473--3503 (2011; Zbl 1211.35252) Full Text: DOI arXiv
Ibrahim, S.; Jrad, R. Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain. (English) Zbl 1218.35146 J. Differ. Equations 250, No. 9, 3740-3771 (2011). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L20 35A01 35B45 PDFBibTeX XMLCite \textit{S. Ibrahim} and \textit{R. Jrad}, J. Differ. Equations 250, No. 9, 3740--3771 (2011; Zbl 1218.35146) Full Text: DOI arXiv
Cuccagna, Scipio On scattering of small energy solutions of non-autonomous Hamiltonian nonlinear Schrödinger equations. (English) Zbl 1216.35134 J. Differ. Equations 250, No. 5, 2347-2371 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q55 35P25 37K05 35B44 PDFBibTeX XMLCite \textit{S. Cuccagna}, J. Differ. Equations 250, No. 5, 2347--2371 (2011; Zbl 1216.35134) 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.; 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
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
Melgaard, Michael Threshold properties of matrix-valued Schrödinger operators. II: Resonances. (English) Zbl 1099.35109 J. Differ. Equations 226, No. 2, 687-703 (2006). MSC: 35Q40 35B34 35P05 81Q10 PDFBibTeX XMLCite \textit{M. Melgaard}, J. Differ. Equations 226, No. 2, 687--703 (2006; Zbl 1099.35109) 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
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
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
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
Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. (English) Zbl 0795.35073 J. Differ. Equations 98, No. 2, 376-390 (1992). MSC: 35P25 35Q55 81U30 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, J. Differ. Equations 98, No. 2, 376--390 (1992; Zbl 0795.35073) Full Text: DOI Link