Title : ( Existence, decay and blow-up results for a plate viscoelastic equation with variable-exponent logarithmic terms )
Authors: Mohammad Shahrouzi ,
Full TextAbstract
. In the present study, we investigate the solution behavior for a class of fourth-order viscoelastic equation with variable-exponent logarithmic nonlinearities. First, we prove the global existence of solutions, and next, by constructing suitable auxiliary functionals, the general decay of solutions has been proved when the exponents satisfy appropriate conditions. Finally, under suitable conditions on data, we establish the finite time blow-up of solutions with positive initial energy. Our results extend and improve many results in the literature.
Keywords
, global existence, general decay, blow-up, variable exponents, logarithmic terms
@article{paperid:1100620,
author = {Shahrouzi, Mohammad},
title = {Existence, decay and blow-up results for a plate viscoelastic equation with variable-exponent logarithmic terms},
journal = {Filomat},
year = {2024},
volume = {38},
number = {20},
month = {October},
issn = {0354-5180},
pages = {7051--7065},
numpages = {14},
keywords = {global existence; general decay; blow-up; variable exponents; logarithmic terms},
}
%0 Journal Article
%T Existence, decay and blow-up results for a plate viscoelastic equation with variable-exponent logarithmic terms
%A Shahrouzi, Mohammad
%J Filomat
%@ 0354-5180
%D 2024
