On Some Forward-Backward Diffusion Equations

On Some Forward-Backward Diffusion Equations

Year:    2006

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 3 : pp. 271–288

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JPDE-5332

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 3 : pp. 271–288

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    forward-backward diffusion equation