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.

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Published

2006-08-02

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Issue

Vol. 19 No. 3 (2006)

Section

Articles

How to Cite

On Some Forward-Backward Diffusion Equations. (2006). Journal of Partial Differential Equations, 19(3), 271-288. https://global-sci.com/index.php/jpde/article/view/4077