Some Properties of Solutions of a Fourth-Order Parabolic Equation for Image Processing

被引：4

作者：

Liu, Changchun ^{[1
]}

Jin, Manli ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

关键词：

Fourth-order parabolic equation; Existence; Asymptotic behavior; Regularity; WEAK SOLUTIONS; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s40840-018-0684-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for the IBVP of a fourth-order nonlinear parabolic equation, which is related to image analysis, we studied the existence and uniqueness of weak solutions. Moreover, we also considered the asymptotic behavior and the regularity of solutions of such problem.

引用

页码：333 / 353

页数：21

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