Some properties of solutions for a fourth-order parabolic equation

被引：3

作者：

Zhao, Xiaopeng ^{[1
]}

Zhang, Min ^{[2
]}

Liu, Changchun ^{[1
]}

机构：

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

[2] Beijing Univ Aeronaut & Astronaut, Sch Econ & Management, Beijing 100191, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 02期

关键词：

fourth-order parabolic equation; existence; regularity; global attractor; GROWTH;

D O I：

10.1002/mma.2579

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a fourth-order parabolic equation in one spatial dimension. On the basis of LeraySchauder's fixed point theorem, we prove the existence and uniqueness of global weak solutions. Moreover, we also consider the regularity of solution and the existence of global attractor. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：169 / 181

页数：13

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