On Behavior of Solutions to a Class of Nonlinear Hyperbolic Inverse Source Problem

被引：0

作者：

Mohammad SHAHROUZI ^{[1
]}

机构：

[1] Department of Mathematics, Jahrom University

来源：

Acta Mathematica Sinica,English Series | 2016年 / 06期

关键词：

Inverse problem; asymptotic stability; blow up; memory; boundary feedback;

D O I：

暂无

中图分类号：

O175.5 [积分方程];

学科分类号：

070104 ;

摘要：

This article is concerned with a class of hyperbolic inverse source problem with memory term and nonlinear boundary damping.Under appropriate assumptions on the initial data and parameters in the equation,we establish two results on behavior of solutions.At first we proved stability of solutions when the integral overdetermination tends to zero as time goes to infinity and finally a blow-up result is established for certain solution with positive initial energy.

引用

页码：683 / 698

页数：16

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