Title : ( General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
In this paper, we study a class of Lamé inverse source problem with variable-exponent nonlinearities. Under some suitable conditions on the coefficients and initial data, we proved general decay of solutions when the integral overdetermination tends to zero as time goes to infinity in appropriate range of variable exponents. Furthermore, in the absence of damping term, we show that there are solutions under some conditions on initial data and variable exponents which blow up in finite time.
Keywords
, blowup, general decay, inverse problem, variable exponent
@article{paperid:1104633,
author = {Shahrouzi, Mohammad},
title = {General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities},
journal = {Mathematical Methods in the Applied Sciences},
year = {2022},
volume = {45},
number = {4},
month = {March},
issn = {0170-4214},
pages = {1864--1878},
numpages = {14},
keywords = {blowup; general decay; inverse problem; variable exponent},
}
%0 Journal Article
%T General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities
%A Shahrouzi, Mohammad
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2022
