# Università degli Studi di Genova

## Parabolic Schrodinger operators

Abstract:
We characterize the domain of the parabolic Schr\"odinger operator $\partial_t-\Delta+V$ in $L^p(\BR^{n+1})$, $1<p<\infty$, where the potential $V$ is nonnegative and belongs to the Parabolic Reverse H\"older class $(PB)_p(\BR^{n+1}).$

Keywords:
Parabolic operators, a priori estimates, Kato inequality.

MSC:
35

Pubblicato su: Journal of Mathematical Analysis and Applications Vol. 343 (2008) N. 2 Pag. 965-974