L^p-continuity of solutions to parabolic free boundary problems

In this article, we consider a class of parabolic free boundary problems. We establish some properties of the solutions, including L^infinity-regularity in time and a monotonicity property, from which we deduce strong L^p-continuity in time.

Bibliographic Details
Main Authors: Abdeslem Lyaghfouri, El Mehdi Zaouche
Format: Article
Language:English
Published: Texas State University 2015-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/184/abstr.html