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

Tetsu Mizumachi

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…