Title : ( Existence and blow up of solutions for a viscoelastic plate equation with variable-exponent nonlocal energy damping and nonlinear source terms )
Authors: Mohammad Shahrouzi , Khalid Hammood Al-Jizani ,
Full TextAbstract
This paper investigates a viscoelastic plate equation featuring variable-exponent nonlocal energy damping and nonlinear source terms. Employing the Nehari and potential well methods, we establish sufficient conditions for the global existence of solutions. Subsequently, we prove the blow up of solutions under appropriate assumptions on the initial data with positive as well as negative initial energy.
Keywords
, Global existence; Blow, up; Nonlocal energy damping; Viscoelastic; plate equation; Nonlinear source term; Variable, exponent
@article{paperid:1107151,
author = {Shahrouzi, Mohammad and خالد حمود الجیزانی},
title = {Existence and blow up of solutions for a viscoelastic plate equation with variable-exponent nonlocal energy damping and nonlinear source terms},
journal = {Journal of Pseudo-Differential Operators and Applications},
year = {2026},
volume = {17},
number = {32},
month = {March},
issn = {1662-9981},
pages = {1--17},
numpages = {16},
keywords = {Global existence; Blow-up; Nonlocal energy damping; Viscoelastic; plate equation; Nonlinear source term; Variable-exponent},
}
%0 Journal Article
%T Existence and blow up of solutions for a viscoelastic plate equation with variable-exponent nonlocal energy damping and nonlinear source terms
%A Shahrouzi, Mohammad
%A خالد حمود الجیزانی
%J Journal of Pseudo-Differential Operators and Applications
%@ 1662-9981
%D 2026
