Qiang Liu, Zhengan Yao, Yuanyuan Ke
Abstract:
In this paper, we discuss the existence and uniqueness of weak
solutions for a fourth-order partial differential equation stemmed
from image processing for noise removal. We also present some
numerical tests for high order filters.
Submitted April 10, 2007. Published September 14, 2007.
Math Subject Classifications: 35K65, 35M10.
Key Words: Existence; uniqueness; fourth-order; noise removal.
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Qiang Liu Department of Mathematics, Jilin University Changchun 130012, China email: matliu@126.com |
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Zhengan Yao Department of Mathematics, Sun Yat-Sen University Guangzhou 510275, China email: mcsyao@mail.sysu.edu.cn |
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Yuanyuan Ke Department of Mathematics, Jilin University Changchun 130012, China email: keyy@jlu.edu.cn |
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