## Differential and Integral Equations

### Complex multiplicative perturbations of elliptic operators: heat kernel bounds and holomorphic functional calculus

#### Abstract

We study heat kernel bounds, regularity on space variables and the holomorphic functional calculus on $L^p$ for operators of type $bA$ where $b$ is a complex bounded function and $A$ is a second-order elliptic operator.

#### Article information

Source
Differential Integral Equations, Volume 12, Number 3 (1999), 395-418.

Dates
First available in Project Euclid: 29 April 2013