Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation
Analysis of PDEs
2022-05-13 v2
Abstract
In this paper, we consider the finite time blow-up results for a parabolic equation coupled with superlinear source term and local linear boundary dissipation. Using a concavity argument, we derive the sufficient conditions for the solutions to blow up in finite time. In particular, we obtain the existence of finite time blow-up solutions with arbitrary high initial energy. We also derive the upper bound and lower bound of the blow up time.
Keywords
Cite
@article{arxiv.2201.08961,
title = {Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation},
author = {Fenglong Sun and Yutai Wang and Hongjian Yin},
journal= {arXiv preprint arXiv:2201.08961},
year = {2022}
}
Comments
in press on Journal of Mathematical Analysis and Applications, see https://www.sciencedirect.com/science/article/pii/S0022247X22003419