Asymptotic Dynamics of Nonlinear Schrödinger Equations with Many Bound States
| dc.creator | Tsai, Tai-Peng | |
| dc.date | 2002-04-30 | |
| dc.date.accessioned | 2026-07-07T04:29:10Z | |
| dc.date.available | 2026-07-07T04:29:10Z | |
| dc.description | We consider a nonlinear Schrödinger equation with a bounded local potential in $R^3$. The linear Hamiltonian is assumed to have three or more bound states with the eigenvalues satisfying some resonance conditions. Suppose that the initial data is localized and small of order $n$ in $H^1$, and that its ground state component is larger than $n^{3-ε}$ with $ε>0$ small. We prove that the solution will converge locally to a nonlinear ground state as the time tends to infinity. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0204056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0204056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57057 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40; 35Q55 | |
| dc.title | Asymptotic Dynamics of Nonlinear Schrödinger Equations with Many Bound States | |
| dc.type | text |