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

Tetsu Mizumachi
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Abstract

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

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Tetsu Mizumachi. 2006-09-12. Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential. https://arxiv.org/abs/math/0609323

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