On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
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
Boundary Value Problems 2007, 2007:080929 doi:10.1155/2007/80929Published: 27 May 2007
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.