Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential

Details Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential

2006-09-12

arxiv.org/abs/math/0609323v1

Mathematics

Analysis of PDEs

22 pages, no figure

Scientific paper

We consider asymptotic stability of a small solitary wave to supercritical
2-dimensional nonlinear Schr\"{o}dinger equations $$ iu_t+\Delta u=Vu\pm
|u|^{p-1}u \quad\text{for $(x,t)\in\mathbb{R}^2\times\mathbb{R}$,}$$ in the
energy class.

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