Lp-continuity of solutions to parabolic free boundary problems

Abdeslem Lyaghfouri; El Mehdi Zaouche

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

Abdeslem Lyaghfouri
, El Mehdi Zaouche

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	A184
Journal	Electronic Journal of Differential Equations
Volume	2015
Publication status	Published - Jul 7 2015
Externally published	Yes

Keywords

Free boundary
L-continuity
Monotonicity
Parabolic equation

ASJC Scopus subject areas

Analysis

Cite this

@article{969ede41099042599ed04727c2fc3e5b,

title = "Lp-continuity of solutions to parabolic free boundary problems",

abstract = "In this article, we consider a class of parabolic free boundary problems. We establish some properties of the solutions, including L∞-regularity in time and a monotonicity property, from which we deduce strong Lptinuity in time.",

keywords = "Free boundary, L-continuity, Monotonicity, Parabolic equation",

author = "Abdeslem Lyaghfouri and Zaouche, \{El Mehdi\}",

note = "Publisher Copyright: {\textcopyright} 2015 Texas State University - San Marcos.",

year = "2015",

month = jul,

day = "7",

language = "English",

volume = "2015",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Lp-continuity of solutions to parabolic free boundary problems

AU - Lyaghfouri, Abdeslem

AU - Zaouche, El Mehdi

PY - 2015/7/7

Y1 - 2015/7/7

N2 - In this article, we consider a class of parabolic free boundary problems. We establish some properties of the solutions, including L∞-regularity in time and a monotonicity property, from which we deduce strong Lptinuity in time.

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

KW - Free boundary

KW - L-continuity

KW - Monotonicity

KW - Parabolic equation

UR - https://www.scopus.com/pages/publications/84936876687

UR - https://www.scopus.com/pages/publications/84936876687#tab=citedBy

M3 - Article

AN - SCOPUS:84936876687

SN - 1072-6691

VL - 2015

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - A184

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this