Title : ( Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition )
Authors: Faramarz Tahamtani , Mohammad Shahrouzi ,
Full TextAbstract
This paper is concerned with global in time behavior of solutions for a quasilinear Petrovsky inverse source problem with boundary dissipation. We establish a stability result when the integral constraint vanishes as time goes to infinity. We also show that the smooth solutions blow up when the data is chosen appropriately.
Keywords
inverse problem; dissipative condition; Petrovsky equation; asymptotic stability; blow up
@article{paperid:1104620,
author = {فرامرز تهمتنی and Shahrouzi, Mohammad},
title = {Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition},
journal = {Mathematical Methods in the Applied Sciences},
year = {2013},
volume = {36},
number = {7},
month = {May},
issn = {0170-4214},
pages = {829--839},
numpages = {10},
keywords = {inverse problem; dissipative condition; Petrovsky equation; asymptotic stability; blow up},
}
%0 Journal Article
%T Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition
%A فرامرز تهمتنی
%A Shahrouzi, Mohammad
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2013
