Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains

Zhuge Jinping

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Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains

机译：Quasiconvex Lipschitz域中的比较的最大原理原理

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In dimension two or three, the weak maximum principle for biharmonic equation is valid in any bounded Lipschitz domains. In higher dimensions (greater than three), it was only known that the weak maximum principle holds in convex domains or C-1 domains, and may fail in general Lipschitz domains. In this paper, we prove the weak maximum principle in higher dimensions in quasiconvex Lipschitz domains, which is a sharp condition in some sense and recovers both convex and C-1 domains. (C) 2020 Elsevier Inc. All rights reserved.

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《Journal of Functional Analysis》 |2020年第12期|共36页
作者
Zhuge Jinping;
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作者单位

Univ Chicago Dept Math Chicago IL 60637 USA;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Weak maximum principle; Quasiconvex domains; Biharmonic equations;

机译：弱的最大原理;拟谐波域;比光臂方程;

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5. Regularity for solutions of biharmonic equation on Lipschitz domain [J] . Jin Keun Seo Bulletin of the Korean Mathematical Society . 1996,第1期

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6. A Weak Maximum Principle and a Weak Limit for the Solution of a Fourth Order Burgers' Equation: Analytical Results [J] . MORLET A.C. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第S2期

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7. Lipschitz selections of convexifications of pseudo-lipschitz multifunctions and the Lipschitz maximum principle for differential inclusions [C] . Sussmann H.J. 49th IEEE Conference on Decision and Control . 2010

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Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains

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