International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 1, Article ID 82654, 10 pages
doi:10.1155/IJMMS/2006/82654

Remarks on weak solutions for a nonlocal parabolic problem

Abstract

We prove a result on existence and uniqueness of weak solutions for a diffusion problem associated with nonlinear diffusions of nonlocal type studied by Chipot and Lovat (1999) by an application of the fixed point result of Schauder. Moreover, making use of Faedo-Galerkin approximation, coupled with some technical ideas, we establish a result on existence of periodic solution.