Remarks on the asymptotic behaviour of the solution to parabolic problems in domains becoming unbounded

Authors
Chipot, M Rougirel, A
Citation
M. Chipot et A. Rougirel, Remarks on the asymptotic behaviour of the solution to parabolic problems in domains becoming unbounded, NONLIN ANAL, 47(1), 2001, pp. 3-11
Citations number
5
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
1
Year of publication
2001
Part
1
Pages
3 - 11
Database
ISI
SICI code
0362-546X(200108)47:1<3:ROTABO>2.0.ZU;2-E
Abstract
We study the asymptotic behaviour of the solution to linear parabolic probl ems with nonhomogeneous boundary conditions in domains becoming unbounded i n one or several directions. We show that this solution converges locally i n space toward the solution of problems set in a cross section of the domai ns.