Well-posedness for a fourth order nonlinear equation related to image processing

Lihua Min; Xiaoping Yang; Dong Ye

doi:10.1016/j.nonrwa.2013.11.005

Well-posedness for a fourth order nonlinear equation related to image processing

Lihua Min^*
, Xiaoping Yang
, Dong Ye

^*Corresponding author for this work

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

6 Scopus citations

Abstract

Using the entropy estimates in Min et al. (2013), we establish the global existence and uniqueness of solutions to a fourth order equation related to image processing. Some numerical results on the Lena image are also presented to show the effectiveness of the equation for noise removal.

Original language	English
Pages (from-to)	192-202
Number of pages	11
Journal	Nonlinear Analysis: Real World Applications
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2013.11.005
State	Published - 2014
Externally published	Yes

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title = "Well-posedness for a fourth order nonlinear equation related to image processing",

abstract = "Using the entropy estimates in Min et al. (2013), we establish the global existence and uniqueness of solutions to a fourth order equation related to image processing. Some numerical results on the Lena image are also presented to show the effectiveness of the equation for noise removal.",

author = "Lihua Min and Xiaoping Yang and Dong Ye",

year = "2014",

doi = "10.1016/j.nonrwa.2013.11.005",

language = "英语",

volume = "17",

pages = "192--202",

journal = "Nonlinear Analysis: Real World Applications",

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AU - Min, Lihua

AU - Yang, Xiaoping

AU - Ye, Dong

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AB - Using the entropy estimates in Min et al. (2013), we establish the global existence and uniqueness of solutions to a fourth order equation related to image processing. Some numerical results on the Lena image are also presented to show the effectiveness of the equation for noise removal.

UR - https://www.scopus.com/pages/publications/84894906338

U2 - 10.1016/j.nonrwa.2013.11.005

DO - 10.1016/j.nonrwa.2013.11.005

M3 - 文章

AN - SCOPUS:84894906338

SN - 1468-1218

VL - 17

SP - 192

EP - 202

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 1

ER -

Well-posedness for a fourth order nonlinear equation related to image processing

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