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
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
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
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 PDFBibTeX XMLCite \textit{A. Comech} and \textit{S. Cuccagna}, Discrete Contin. Dyn. Syst. 41, No. 3, 1225--1270 (2021; Zbl 1460.35321) 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
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; 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
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 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
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
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
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
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
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
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
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, Physica D 238, No. 1, 38--54 (2009; Zbl 1161.35500) 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
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
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
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, Rev. Math. Phys. 15, No. 8, 877--903 (2003; Zbl 1084.35089) Full Text: DOI
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
Cuccagna, Scipio On the wave equation with a potential. (English) Zbl 0951.35021 Commun. Partial Differ. Equations 25, No. 7-8, 1549-1565 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35B45 35L15 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Partial Differ. Equations 25, No. 7--8, 1549--1565 (2000; Zbl 0951.35021) Full Text: DOI