IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Regularity of the Schrödinger equation for the harmonic oscillator
Autor/es:
B. BONGIOANNI, K. M. ROGERS
Revista:
ARKIV FOR MATEMATIK
Editorial:
SPRINGER
Referencias:
Año: 2011 vol. 49 p. 217 - 238
ISSN:
0004-2080
Resumen:
We consider the Schr"odinger equation for theharmonic oscillator $ipartial_tu=H u$, where $H=-Delta +|x|^2$,with initial data in the Hermite--Sobolev space $H^{-s/2}L^2(R^n)$.We obtain smoothing and maximal estimates and apply these to perturbations of the equation and almost everywhere convergence problems.
