- Abstract:
-
We consider a class of nonlinear Schr\"odinger equation in two space dimensions with an attractive potential. The nonlinearity is local but rather general encompassing for the first time both subcritical and supercritical (in $L^2$) nonlinearities. We study the asymptotic stability of the nonlinear bound states, i.e. periodic in time localized in space solutions. Our result shows that all solutions with small initial data, converge to a nonlinear bound state. Therefore, the nonlinear bound st...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1016/j.jde.2009.04.015
-
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- Journal:
- JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume:
- 247
- Issue:
- 3
- Pages:
- 710-735
- Publication date:
- 2008-05-26
- DOI:
- EISSN:
-
1090-2732
- ISSN:
-
0022-0396
- URN:
-
uuid:f32cbda4-4234-4018-a39a-c3fd0a2543df
- Source identifiers:
-
11187
- Local pid:
- pubs:11187
- Language:
- English
- Keywords:
- Copyright date:
- 2008
Journal article
Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases
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