A doubly degenerate diffusion equation in multiplicative noise removal models

Zhenyu Zhou; Zhichang Guo; Boying Wu

doi:10.1016/j.jmaa.2017.08.049

A doubly degenerate diffusion equation in multiplicative noise removal models

Zhenyu Zhou
, Zhichang Guo^*
, Boying Wu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

9 Scopus citations

Abstract

In this paper, we consider the Neumann problem of a doubly degenerate diffusion equation which is proposed to deal with multiplicative noise. We prove the existence and the extremum principle of weak solutions for the problem.

Original language	English
Pages (from-to)	58-70
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	458
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.08.049
State	Published - 1 Feb 2018

Keywords

Doubly degenerate diffusion equation
Multiplicative noise removal

Access to Document

10.1016/j.jmaa.2017.08.049

Cite this

@article{d06fc35f2e7148c9be0855e95e2447d3,

title = "A doubly degenerate diffusion equation in multiplicative noise removal models",

abstract = "In this paper, we consider the Neumann problem of a doubly degenerate diffusion equation which is proposed to deal with multiplicative noise. We prove the existence and the extremum principle of weak solutions for the problem.",

keywords = "Doubly degenerate diffusion equation, Multiplicative noise removal",

author = "Zhenyu Zhou and Zhichang Guo and Boying Wu",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

month = feb,

day = "1",

doi = "10.1016/j.jmaa.2017.08.049",

language = "英语",

volume = "458",

pages = "58--70",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A doubly degenerate diffusion equation in multiplicative noise removal models

AU - Zhou, Zhenyu

AU - Guo, Zhichang

AU - Wu, Boying

PY - 2018/2/1

Y1 - 2018/2/1

N2 - In this paper, we consider the Neumann problem of a doubly degenerate diffusion equation which is proposed to deal with multiplicative noise. We prove the existence and the extremum principle of weak solutions for the problem.

AB - In this paper, we consider the Neumann problem of a doubly degenerate diffusion equation which is proposed to deal with multiplicative noise. We prove the existence and the extremum principle of weak solutions for the problem.

KW - Doubly degenerate diffusion equation

KW - Multiplicative noise removal

UR - https://www.scopus.com/pages/publications/85031033769

U2 - 10.1016/j.jmaa.2017.08.049

DO - 10.1016/j.jmaa.2017.08.049

M3 - 文章

AN - SCOPUS:85031033769

SN - 0022-247X

VL - 458

SP - 58

EP - 70

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A doubly degenerate diffusion equation in multiplicative noise removal models

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this