EXPONENTIAL DECAY AND BLOW-UP FOR NONLINEAR HEAT EQUATIONS WITH VISCOELASTIC TERMS AND ROBIN-DIRICHLET CONDITIONS

被引：0

作者：

Le Thi Phuong Ngoc ^{[1
,2
,3
]}

Nguyen Thanh Long ^{[2
,3
]}

机构：

[1] Univ Khanh Hoa, 01 Nguyen Chanh Str, Nha Trang City, Vietnam

[2] Univ Sci, Dept Math & Comp Sci, 227 Nguyen Van Cu Str,Dist 5, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年

关键词：

Nonlinear heat equations; blow up; exponential decay;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a system of nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions. First, we prove existence and uniqueness of a weak solution. Next, we prove a blow up result of weak solutions with negative initial energy. Also, we give a sufficient condition that guarantees the existence and exponential decay of global weak solutions. The main tools are the Faedo-Galerkin method, a Lyapunov functional, and a suitable energy functional.

引用

页数：26

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