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.
Citation
V. Barbu. "The Carleman inequality for linear parabolic equations in $L^q$-norm." Differential Integral Equations 15 (5) 513 - 525, 2002. https://doi.org/10.57262/die/1356060828
Information
