Title : ( Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
In this paper, we consider a nonlinear viscoelastic inverse problem with memory in the boundary. Under some suitable conditions on the coefficients, relaxation function, and initial data, we proved stability of solutions when the integral overdetermination tends to zero as time goes to infinity. Furthermore, we show that there are solutions under some conditions on initial data that blow up in finite time.
Keywords
inverse problem; asymptotic stability; blowup; viscoelastic; boundary feedback
@article{paperid:1104621,
author = {Shahrouzi, Mohammad},
title = {Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback},
journal = {Mathematical Methods in the Applied Sciences},
year = {2016},
volume = {39},
number = {9},
month = {June},
issn = {0170-4214},
pages = {2368--2379},
numpages = {11},
keywords = {inverse problem; asymptotic stability; blowup; viscoelastic; boundary feedback},
}
%0 Journal Article
%T Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback
%A Shahrouzi, Mohammad
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2016
