## 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

https://projecteuclid.org/euclid.die/1367265218

Mathematical Reviews number (MathSciNet)
MR1674426

Zentralblatt MATH identifier
1008.47020

#### Citation

Duong, Xuan Thinh; Ouhabaz, El Maati. Complex multiplicative perturbations of elliptic operators: heat kernel bounds and holomorphic functional calculus. Differential Integral Equations 12 (1999), no. 3, 395--418. https://projecteuclid.org/euclid.die/1367265218