Threshold result for semilinear parabolic equations
Analysis of PDEs
2010-10-07 v2
Abstract
In this paper, we study initial boundary value problem of semilinear parabolic equations and prove that any positive solution of its steady-state problem is an initial datum threshold for the existence and nonexistence of global solution to the above mentioned parabolic problem
Keywords
Cite
@article{arxiv.1002.0285,
title = {Threshold result for semilinear parabolic equations},
author = {Qiuyi Dai and Yonggeng Gu and Fang Liu and Junhui Xie},
journal= {arXiv preprint arXiv:1002.0285},
year = {2010}
}
Comments
This paper has been withdrawn by the author because the authors know recently an similar result was proved by other authors many years ago