On Asymptotic Stability in Energy Space of Ground States of NLS in 2D

Cuccagna, Scipio; Tarulli, Mirko

doi:10.1016/j.anihpc.2008.12.001

Cuccagna, Scipio ; Tarulli, Mirko

Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1361-1386.

EuDML MR Zbl

DOI : 10.1016/j.anihpc.2008.12.001

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     author = {Cuccagna, Scipio and Tarulli, Mirko},
     title = {On {Asymptotic} {Stability} in {Energy} {Space} of {Ground} {States} of {NLS} in {2D}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1361--1386},
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     doi = {10.1016/j.anihpc.2008.12.001},
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}

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Cuccagna, Scipio; Tarulli, Mirko. On Asymptotic Stability in Energy Space of Ground States of NLS in 2D. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1361-1386. doi : 10.1016/j.anihpc.2008.12.001. http://www.numdam.org/articles/10.1016/j.anihpc.2008.12.001/

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Cuccagna, Scipio; Maeda, Masaya A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II, Discrete and Continuous Dynamical Systems. Series S, Volume 14 (2021) no. 5, pp. 1693-1716 | DOI:10.3934/dcdss.2020450 | Zbl:1475.35313
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential, Journal of Mathematical Physics, Volume 61 (2020) no. 4, p. 041504 | DOI:10.1063/1.5144330 | Zbl:1443.81029
Boussaïd, Nabile; Comech, Andrew Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity, Journal of Functional Analysis, Volume 277 (2019) no. 12, p. 68 (Id/No 108289) | DOI:10.1016/j.jfa.2019.108289 | Zbl:1426.35026
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Soliton-potential interactions for nonlinear Schrödinger equation in $R^{3}$ , SIAM Journal on Mathematical Analysis, Volume 50 (2018) no. 5, pp. 5243-5292 | DOI:10.1137/17m1147275 | Zbl:1428.35500
Maeda, Masaya Existence and asymptotic stability of quasi-periodic solutions of discrete NLS with potential, SIAM Journal on Mathematical Analysis, Volume 49 (2017) no. 5, pp. 3396-3426 | DOI:10.1137/16m1069729 | Zbl:1375.35501
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Cuccagna, Scipio; Visciglia, Nicola On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D, Transactions of the American Mathematical Society, Volume 363 (2011) no. 5, pp. 2357-2391 | DOI:10.1090/s0002-9947-2010-05046-9 | Zbl:1298.35191
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Cuccagna, Scipio; Tarulli, Mirko On asymptotic stability of standing waves of discrete Schrödinger equation in $Z$ , arXiv (2008) | DOI:10.48550/arxiv.0808.2024 | arXiv:0808.2024
Cuccagna, Scipio; Visciglia, Nicola On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D, arXiv (2008) | DOI:10.48550/arxiv.0809.4775 | arXiv:0809.4775

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