Renormalized solutions to a reaction-diffusion system applied to image denoising

Qiang  Liu; Zhichang  Guo; Chunpeng Wang

doi:10.3934/dcdsb.2016025

Article Contents

2016, Volume 21, Issue 6: 1839-1858. Doi: 10.3934/dcdsb.2016025

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Renormalized solutions to a reaction-diffusion system applied to image denoising

1.
College of Mathematics and Computational Science, Shenzhen University, 518060 Shenzhen
2.
Department of Mathematics, Harbin Institute of Technology, 150001 Harbin
3.
School of Mathematics, Jilin University, Changchun 130012

Received: November 30, 2014

Revised: April 30, 2016

Published: July 2016

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Abstract

This paper concerns the Neumann problem of a reaction-diffusion system, which has a variable exponent Laplacian term and could be applied to image denoising. It is shown that the problem admits a unique renormalized solution for each integrable initial datum.

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Mathematics Subject Classification: 35K65, 35D30.

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References

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