Regularity of the obstacle problem for the parabolic biharmonic equation

被引：15

作者：

Novaga, Matteo ^{[1
]}

Okabe, Shinya ^{[2
]}

机构：

[1] Univ Pisa, Dept Math, I-56127 Pisa, Italy

[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

MATHEMATISCHE ANNALEN | 2015年 / 363卷 / 3-4期

关键词：

CAHN-HILLIARD EQUATION; EXISTENCE; BOUNDARY;

D O I：

10.1007/s00208-015-1200-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the obstacle problem for the parabolic biharmonic equation. We study the problem via an implicit time discretization, we prove the existence of a unique solution and discuss its regularity property.

引用

页码：1147 / 1186

页数：40

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