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Open Access Research Article

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

Yuandi Wang1* and Hamdi Zorgati23

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

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.