Boundary Value Problems
Volume 2007 (2007), Article ID 80929, 10 pages
doi:10.1155/2007/80929
On comparison principles for parabolic equations with nonlocal boundary conditions
Yuandi Wang1
and Hamdi Zorgati2
1Department of Mathematics, Shanghai University, Shanghai 200444, China
2Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, Zürich CH-8057, Switzerland
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.