Title : ( On behavior of solutions to a class of nonlinear hyperbolic inverse source problem )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
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.
Keywords
, Inverse problem, asymptotic stability, blow up, memory, boundary feedback
@article{paperid:1104625,
author = {Shahrouzi, Mohammad},
title = {On behavior of solutions to a class of nonlinear hyperbolic inverse source problem},
journal = {Acta Mathematica Sinica-English series},
year = {2016},
volume = {32},
number = {6},
month = {June},
issn = {1439-8516},
pages = {683--698},
numpages = {15},
keywords = {Inverse problem; asymptotic stability; blow up; memory; boundary feedback},
}
%0 Journal Article
%T On behavior of solutions to a class of nonlinear hyperbolic inverse source problem
%A Shahrouzi, Mohammad
%J Acta Mathematica Sinica-English series
%@ 1439-8516
%D 2016
