EXISTENCE, BLOW-UP AND EXPONENTIAL DECAY FOR KIRCHHOFF-LOVE EQUATIONS WITH DIRICHLET CONDITIONS

被引：0

作者：

Nguyen Anh Triet ^{[1
]}

Vo Thi Tuyet Mai ^{[2
,3
]}

Le Thi Phuong Ngoc ^{[4
]}

Nguyen Thanh Long ^{[3
]}

机构：

[1] Univ Architecture Ho Chi Minh City, Dept Math, 196 Pasteur Str,Dist 3, Ho Chi Minh City, Vietnam

[2] Univ Nat Resources & Environm Ho Chi Minh City, 236B Le Van Sy Str,Ward 1, Ho Chi Minh City, Vietnam

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

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Nonlinear Kirchhoff-Love equation; blow-up; exponential decay; NONLINEAR-WAVE EQUATION; BOUNDARY-CONDITIONS; 2-POINT TYPE; DISSIPATION; SCHEME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article concerns the initial boundary value problem for a nonlinear Kirchhoff-Love equation. First, by applying the Faedo-Galerkin, we prove existence and uniqueness of a solution. Next, by constructing Lyapunov functional, we prove a blow-up of the solution with a negative initial energy, and establish a sufficient condition for the exponential decay of weak solutions.

引用

页数：26

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