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

Qiang Liu; Zhichang Guo; Chunpeng Wang

doi:10.3934/dcdsb.2016025

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

Qiang Liu
, Zhichang Guo
, Chunpeng Wang^*

^*Corresponding author for this work

School of Mathematics

Shenzhen University
School of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	1839-1858
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	21
Issue number	6
DOIs	https://doi.org/10.3934/dcdsb.2016025
State	Published - Aug 2016

Keywords

Image denoising
Reaction-diffusion system
Renormalized solution

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10.3934/dcdsb.2016025

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title = "Renormalized solutions to a reaction-diffusion system applied to image denoising",

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.",

keywords = "Image denoising, Reaction-diffusion system, Renormalized solution",

author = "Qiang Liu and Zhichang Guo and Chunpeng Wang",

year = "2016",

month = aug,

doi = "10.3934/dcdsb.2016025",

language = "英语",

volume = "21",

pages = "1839--1858",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "American Institute of Mathematical Sciences",

number = "6",

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T1 - Renormalized solutions to a reaction-diffusion system applied to image denoising

AU - Liu, Qiang

AU - Guo, Zhichang

AU - Wang, Chunpeng

PY - 2016/8

Y1 - 2016/8

N2 - 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.

AB - 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.

KW - Image denoising

KW - Reaction-diffusion system

KW - Renormalized solution

UR - https://www.scopus.com/pages/publications/84978901313

U2 - 10.3934/dcdsb.2016025

DO - 10.3934/dcdsb.2016025

M3 - 文章

AN - SCOPUS:84978901313

SN - 1531-3492

VL - 21

SP - 1839

EP - 1858

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 6

ER -

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

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Keywords

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