On the asymptotic behaviour of the solution of elliptic problems

Citation
M. Chipot et A. Rougirel, On the asymptotic behaviour of the solution of elliptic problems, CR AC S I, 331(6), 2000, pp. 435-440
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
6
Year of publication
2000
Pages
435 - 440
Database
ISI
SICI code
0764-4442(20000915)331:6<435:OTABOT>2.0.ZU;2-K
Abstract
We study the asymptotic behaviour of the solution of linear and nonlinear e lliptic problems in cylindrical domains becoming unbounded in one or severa l directions. In particular, we give estimates of the difference between th e solution in bounded domains and its limit in terms of the size l of the d irections going to infinity. (C) 2000 Academie des sciences/Editions scient ifiques et medicales Elsevier SAS.