On Some Forward-Backward Diffusion Equations

Authors

  • Kewei Zhang

Keywords:

forward-backward diffusion equation;partial differential inclusion;relaxation property;existence of weak solutions;image processing

Abstract

We describe an application of the partial differential inclusion method to the existence of Lipschitz weak solutions for certain forward-backward diffusion equations including the one-dimensional version of the Perona-Malik equation in image processing.

Published

2006-08-02

Issue

Section

Articles