|
Journal Home Page
Cumulative Index
List of all Volumes
Complete Contents
of this Volume
Previous Article
Next Article
|
|
Journal of Convex Analysis 10 (2003), No. 2, 437--444
Copyright Heldermann Verlag 2003
Summability of Solutions of Elliptic and Parabolic Quasilinear Equations with Measures
as Data
Youcef Atik
Lab. des EDP Non Linéaires et Histoire des Mathématiques, Ecole Normale Supérieure, B.P. 92,
16050 Kouba, Alger, Algeria,
youcefatiq@hotmail.com
Mohammed Boukra
Faculté des Sciences, Dép. de Mathématiques, Oued Aïssi, Université de Tizi-Ouzou, Algeria
We give a result of summability of solution of elliptic and parabolic
boundary and initial-boundary value problems associated with an operator
of Leray-Lions type when the right-hand side and the initial condition are
two bounded Radon measures. This work generalizes the results of papers by
L. Boccardo and T. Gallouet [J. Convex Analysis 3 (1996) 361--365] and Li
Feng-Quan and Li Guang-Wei [J. Convex Analysis 7 (2000) 203--208].
Keywords: Summability, quasilinear elliptic and parabolic equations, measures as data.
MSC 2000: 35D10, 35R05.
FullText-pdf (292 K)
|