Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term
Analysis of PDEs
2020-06-01 v2
Abstract
In this paper, we establish blow-up rates for higher-order semilinear parabolic equations with nonlocal in time nonlinearity with no positive assumption on the solution. We also give Liouville-type theorem for higher-order semilinear parabolic equation with infinite memory nonlinear term which plays the main tools to prove our blow-up rate result. Finally, we study the well-posedness of mild solutions.
Keywords
Cite
@article{arxiv.2005.13627,
title = {Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term},
author = {Ahmad Z. Fino},
journal= {arXiv preprint arXiv:2005.13627},
year = {2020}
}