2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116482We 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.22 pages, no figureAnalysis of PDEsMathematical PhysicsAsymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potentialtext