Title : ( A Nonlinear $r(x)$-Kirchhoff Type Hyperbolic Equation: Stability Result and Blow up of Solutions with Positive Initial Energy )
Authors: Mohammad Shahrouzi , Jorge Ferreira ,
Full TextAbstract
In this paper we consider r(x)−Kirchhoff type equation with variable-exponent nonlinearity of the form utt −Du−a + bZW r(1x)j∇ujr(x)dxDr(x)u + but = jujp(x)−2u; associated with initial and Dirichlet boundary conditions. Under appropriate conditions on r(:) and p(:), stability result along the solution energy is proved. It is also shown that regarding arbitrary positive initial energy and suitable range of variable exponents, solutions blow-up in a finite time.
Keywords
, blow-up, Kirchhoff equation, stability result, variable exponents
@article{paperid:1104634,
author = {Shahrouzi, Mohammad and جرج فریرا},
title = {A Nonlinear $r(x)$-Kirchhoff Type Hyperbolic Equation: Stability Result and Blow up of Solutions with Positive Initial Energy},
journal = {Communications in Advanced Mathematical Sciences},
year = {2021},
volume = {4},
number = {4},
month = {December},
issn = {2651-4001},
pages = {208--216},
numpages = {8},
keywords = {blow-up; Kirchhoff equation; stability result; variable exponents},
}
%0 Journal Article
%T A Nonlinear $r(x)$-Kirchhoff Type Hyperbolic Equation: Stability Result and Blow up of Solutions with Positive Initial Energy
%A Shahrouzi, Mohammad
%A جرج فریرا
%J Communications in Advanced Mathematical Sciences
%@ 2651-4001
%D 2021
