ON SOME FORWARD-BACKWARD DIFFUSION EQUATIONS

ON SOME FORWARD-BACKWARD DIFFUSION EQUATIONS

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摘要 We describe an application of the partial differential inclusion method to the existence of Lipschitz weak solutions for certain forward-backward diffusion equations including the one-dimensional version of the Perona-Malik equation in image processing.

作者 Zhang Kewei

机构地区 Department of Mathematics

出处《Journal of Partial Differential Equations》 2006年第3期271-288,共18页 偏微分方程（英文版）

关键词 forward-backward diffusion equation partial differential inclusion relaxation property existence of weak solutions image processing.

分类号 O175.26 [理学—基础数学] O175.29 [理学—基础数学]

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Journal of Partial Differential Equations

2006年第3期

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ON SOME FORWARD-BACKWARD DIFFUSION EQUATIONS

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