Global existence and blowup for a degenerate parabolic equation with a free boundary
Volume 124 / 2020
Annales Polonici Mathematici 124 (2020), 1-31
MSC: Primary 35B35, 35B40, 35K51; Secondary 35K65, 35R35.
DOI: 10.4064/ap171230-26-5
Published online: 13 December 2019
Abstract
This paper deals with a free boundary problem for a degenerate parabolic equation. For such a problem, we mainly study the blowup property and global existence of solutions. Our results show that blowup occurs if the initial datum is sufficiently large, while the solution is global and fast if the initial data is sufficiently small, and that the existence of a global slow solution is possible when the initial data is suitably large.
