Title : ( Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source )
Authors: Mohammad Shahrouzi , Salah Boulaaras , Rashid Jan ,
Full TextAbstract
This research examines the well-posedness and blow-up phenomena associated with a p(l)-biharmonic wave equation characterized by singular dissipation and a variable-exponent logarithmic source term, subject to null Dirichlet boundary conditions. Utilizing contraction mapping principle and Faedo-Galerkin method, the global and local well-posedness of the equation are established. Furthermore, t he blow-up behavior, both in finite and infinite time, is demonstrated through the application of a modified concavity argument.
Keywords
, p(l)-Biharmonic, Variable exponent, Logarithmic source term, Singular dissipation, Nonlinear equations
@article{paperid:1101573,
author = {Shahrouzi, Mohammad and صلاح بولاراس and رشید جان},
title = {Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2025},
volume = {16},
number = {1},
month = {January},
issn = {1662-9981},
keywords = {p(l)-Biharmonic; Variable exponent; Logarithmic source term; Singular dissipation; Nonlinear equations},
}
%0 Journal Article
%T Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source
%A Shahrouzi, Mohammad
%A صلاح بولاراس
%A رشید جان
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2025
