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; 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
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
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
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
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
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, Commun. Math. Phys. 305, No. 2, 279--331 (2011; Zbl 1222.35183) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{N. Visciglia}, Trans. Am. Math. Soc. 363, No. 5, 2357--2391 (2011; Zbl 1298.35191) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 250, No. 5, 2347--2371 (2011; Zbl 1216.35134) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Cuccagna, Scipio An invariant set in energy space for supercritical NLS in 1D. (English) Zbl 1160.35534 J. Math. Anal. Appl. 352, No. 2, 634-644 (2009). MSC: 35Q55 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Math. Anal. Appl. 352, No. 2, 634--644 (2009; Zbl 1160.35534) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio On instability of excited states of the nonlinear Schrödinger equation. (English) Zbl 1161.35500 Physica D 238, No. 1, 38-54 (2009). MSC: 35Q55 35B35 37K45 PDF BibTeX XML Cite \textit{S. Cuccagna}, Physica D 238, No. 1, 38--54 (2009; Zbl 1161.35500) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{T. Mizumachi}, Commun. Math. Phys. 284, No. 1, 51--77 (2008; Zbl 1155.35092) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 245, No. 3, 653--691 (2008; Zbl 1185.35251) Full Text: DOI arXiv Numdam OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 223, No. 1, 112--160 (2006; Zbl 1115.35120) Full Text: DOI OpenURL
Cuccagna, Scipio On asymptotic stability of ground states of NLS. (English) Zbl 1084.35089 Rev. Math. Phys. 15, No. 8, 877-903 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q55 35B35 37K05 81Q05 PDF BibTeX XML Cite \textit{S. Cuccagna}, Rev. Math. Phys. 15, No. 8, 877--903 (2003; Zbl 1084.35089) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, Commun. Pure Appl. Math. 54, No. 9, 1110--1145 (2001; Zbl 1031.35129) Full Text: DOI OpenURL