Critical behavior for a semilinear parabolic equation with forcing term depending of time and space
Analysis of PDEs
2019-10-23 v2
Abstract
We investigate the large-time behavior of the sign-changing solution of the inhomogeneous semilinear heat equation with a forcing term depending of time and space. we identify the critical exponent for this problem, which separates the nonexistence/existence of global-in-time solutions, and show the discontinuity of this critical exponent at the point which the inhomogeneous term becomes independent of time variable.
Keywords
Cite
@article{arxiv.1910.08870,
title = {Critical behavior for a semilinear parabolic equation with forcing term depending of time and space},
author = {Mohamed Jleli and Tatsuki Kawakami and Bessem Samet},
journal= {arXiv preprint arXiv:1910.08870},
year = {2019}
}