Contents Online
Mathematical Research Letters
Volume 1 (1994)
Number 1
Noyau de la chaleur d'opérateurs elliptiques complexes
Pages: 35 – 43
DOI: https://dx.doi.org/10.4310/MRL.1994.v1.n1.a4
Authors
Abstract
We study the heat kernel of second order elliptic operators in divergence form with complex non-smooth bounded coefficients on ${\Bbb{R}}^n$. We obtain Gaussian bounds without further assumption if $n \le 2$, and when the principal part has Hölder continuous coefficients if $n \ge 3$. Some applications are discussed.
Published 1 January 1994