## Differential and Integral Equations

### The Carleman inequality for linear parabolic equations in $L^q$-norm

V. Barbu

#### Abstract

The Carleman inequality for linear parabolic equations (see [5]) is extended to $L^q, 1\leq q\leq 2$ norm. Two applications pertaining maximum principle for the Bolza problem and stabilization of the semilinear heat equation are given.

#### Article information

Source
Differential Integral Equations, Volume 15, Number 5 (2002), 513-525.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356060828

Mathematical Reviews number (MathSciNet)
MR1895894

Zentralblatt MATH identifier
1034.93029

#### Citation

Barbu, V. The Carleman inequality for linear parabolic equations in $L^q$-norm. Differential Integral Equations 15 (2002), no. 5, 513--525. https://projecteuclid.org/euclid.die/1356060828