Title : ( Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential )
Authors: Erhan Piskin , Ayse Fidan , Mohammad Shahrouzi ,
Full TextAbstract
In this work, we consider the higher-order reaction-diffusion parabolic problem with time dependent coefficient. We prove the blow-up of solutions and obtain a lower and an upper bound for the blow-up time. Finally, we investigate the existence of a global weak solution to the problem.
Keywords
, Blow, up; higher, order; singular potential; global existence; reaction, diffusion
@article{paperid:1107148,
author = {ارهان پیشکین and آیسه فیدان and Shahrouzi, Mohammad},
title = {Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential},
journal = {Cubo},
year = {2026},
volume = {28},
number = {1},
month = {January},
issn = {0719-0646},
pages = {79--97},
numpages = {18},
keywords = {Blow-up; higher-order; singular potential; global existence; reaction-diffusion},
}
%0 Journal Article
%T Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential
%A ارهان پیشکین
%A آیسه فیدان
%A Shahrouzi, Mohammad
%J Cubo
%@ 0719-0646
%D 2026
