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Remarks on a nonlocal problem involving the Dirichlet energy

Chipot, M; Valente, V; Vergara-Caffarelli, G (2003). Remarks on a nonlocal problem involving the Dirichlet energy. Rendiconti del Seminario Matematico della Università di Padova., 110:199-220.

Abstract

We introduce a class of nonlinear parabolic problems of nonlocal type depending onthe Dirichlet integral and study the questions of existence, uniqueness and asymptotic behaviour for the solution.

Additional indexing

Other titles:The Mathematical Journal of the University of Padova
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Analysis
Physical Sciences > Algebra and Number Theory
Physical Sciences > Mathematical Physics
Physical Sciences > Geometry and Topology
Uncontrolled Keywords:nonlocal parabolic problem, Dirichlet integral, existence, uniqueness, stationary problem, asymptotic behaviour
Language:English
Date:2003
Deposited On:10 Jun 2010 15:49
Last Modified:07 Jan 2025 04:39
Publisher:CEDAM
ISSN:0041-8994
OA Status:Green
Official URL:http://rendiconti.math.unipd.it/volumes/vol110.php
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2033009
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1117.35034

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