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

^*此作品的通讯作者

Nanjing University of Posts and Telecommunications
Nanjing University of Science and Technology
Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	192-202
页数	11
期刊	Nonlinear Analysis: Real World Applications
卷	17
期	1
DOI	https://doi.org/10.1016/j.nonrwa.2013.11.005
出版状态	已出版 - 2014
已对外发布	是

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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",

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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

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

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