We study in this paper the positive solution of the Cauchy problem for a fast diffusion equation with source. We derive a secondary critical exponent of the behavior of the initial value at infinity for the existence of global (in time) and nonglobal solutions of the Cauchy problem. Furthermore, the large time behaviors of those global solutions are also studied.
Publié le : 2001-12-14
Classification:
Fast diffusion equation,
source,
critical exponent,
35K57,
35B05,
35B33,
35B40
@article{1113247801,
author = {Guo, Jong-Shenq and Guo, Yung-Jen L.},
title = {On a fast diffusion equation with source},
journal = {Tohoku Math. J. (2)},
volume = {53},
number = {4},
year = {2001},
pages = { 571-579},
language = {en},
url = {http://dml.mathdoc.fr/item/1113247801}
}
Guo, Jong-Shenq; Guo, Yung-Jen L. On a fast diffusion equation with source. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp. 571-579. http://gdmltest.u-ga.fr/item/1113247801/