Open Access

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

Boundary Value Problems20072007:080929

DOI: 10.1155/2007/80929

Received: 5 December 2006

Accepted: 3 May 2007

Published: 27 May 2007

Abstract

A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained. This generalization uses a positivity result obtained here for a parabolic problem with nonlocal boundary conditions.

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Authors’ Affiliations

(1)
Department of Mathematics, Shanghai University
(2)
Institut für Mathematik, Universität Zürich
(3)
Department of Mathematics, Campus Universitaire, University of Tunis

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Copyright

© Y.Wang and H. Zorgati. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.