Abdeslem Lyaghfouri, El Mehdi Zaouche
Abstract:
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.
Submitted May 25, 2015. Published July 7, 2015.
Math Subject Classifications: 35B65, 35D30, 35R35.
Key Words: Parabolic equation; free boundary; monotonicity; L^p-continuity.
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Abdeslem Lyaghfouri American University of Ras Al Khaimah Department of Mathematics and Natural Sciences Ras Al Khaimah, UAE email: abdeslem.lyaghfouri@aurak.ac.ae |
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El Mehdi Zaouche Ecole Normale Supérieure Département de Mathématiques 16050 Kouba, Alger, Algérie email: elmehdi-zaouche@univ-eloued.dz |
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