# On the one-dimensional Perona-Malek equation

9 May 2005
17:00
Kewei Zhang
Abstract
We use the partial differential inclusion method to establish existence of infinitely many weak solutions to the one-dimensional version of the Perona-Malek anisotropic diffusion model in the theory of image processing. We consider the homogeneous Neumann problem as the model requires. .
• Applied Analysis and Mechanics Seminar