Authors
Citation
M. Mabrouk, ON AN EVOLUTION PROBLEM WITH MEASURE DATA VARIATIONAL APPROACH, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(1), 1994, pp. 47-52
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
318
Issue
1
Year of publication
1994
Pages
47 - 52
Database
ISI
SICI code
0764-4442(1994)318:1<47:OAEPWM>2.0.ZU;2-G
Abstract
We investigate a semi-linear parabolic multivalued equation with measu
re initial data, the non-linearity beta (x,.) being a maximal monotone
graph of R(2) depending measurably on x. In the case of moderate grow
th, namely \beta (x,r)\ less than or equal to C (1 + \r\(alpha)), alph
a < 1/2 + 2/n we show, using epi-convergence techniques, that the solu
tion solves in some sense a convex minimisation problem.