Open Access Research Article

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

Yuandi Wang1* and Hamdi Zorgati2,3

Author Affiliations

1 Department of Mathematics, Shanghai University, Shanghai 200444, China

2 Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, Zürich CH-8057, Switzerland

3 Department of Mathematics, Campus Universitaire, University of Tunis, Elmanar 2092, Tunisia

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Boundary Value Problems 2007, 2007:080929 doi:10.1155/2007/80929


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2007/1/080929


Received:5 December 2006
Revisions received:8 March 2007
Accepted:3 May 2007
Published:27 May 2007

© 2007 Wang and Zorgati

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.

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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