Abstract
This paper is concerned with a nonlocal nonlinear diffusion equation with Dirichlet boundary condition and a source , , , , , , and , , which is analogous to the local porous medium equation. First, we prove the existence and uniqueness of the solution as well as the validity of a comparison principle. Next, we discuss the blowup phenomena of the solution to this problem. Finally, we discuss the blowup rates and sets of the solution.
Citation
Guosheng Zhang. Yifu Wang. "Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/746086