Regularity of the Schrödinger equation for the harmonic oscillator
We consider the Schrödinger equation for the harmonic oscillator i∂tu=Hu, where H=-Δ+{pipe}x{pipe}2, with initial data in the Hermite-Sobolev space H-s/2L2(ℝn). We obtain smoothing and maximal estimates and apply these to perturbations of the equation and almost everywhere convergence problems....
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/67932 |
| Acceso en línea: | http://hdl.handle.net/11336/67932 |
| Access Level: | acceso abierto |
| Palabra clave: | Schrödinger harmonic oscillator Hermite expansion https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We consider the Schrödinger equation for the harmonic oscillator i∂tu=Hu, where H=-Δ+{pipe}x{pipe}2, with initial data in the Hermite-Sobolev space H-s/2L2(ℝn). We obtain smoothing and maximal estimates and apply these to perturbations of the equation and almost everywhere convergence problems. |
|---|