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Some convergence results for quasilinear parabolic boundary value problems in cylindrical domains of large size


Guesmia, S (2009). Some convergence results for quasilinear parabolic boundary value problems in cylindrical domains of large size. Nonlinear Analysis: Theory, Methods & Applications, 70(9):3320-3331.

Abstract

The goal of this paper is to study the asymptotic behavior of the solution of the quasilinear parabolic boundary value problems defined on cylindrical domains when one or several directions go to infinity. We show that the dimension of the space can be reduced and the rate of convergence is analyzed. The evolution p-Laplacian equations and the generalized heat problems are considered.

Abstract

The goal of this paper is to study the asymptotic behavior of the solution of the quasilinear parabolic boundary value problems defined on cylindrical domains when one or several directions go to infinity. We show that the dimension of the space can be reduced and the rate of convergence is analyzed. The evolution p-Laplacian equations and the generalized heat problems are considered.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1 May 2009
Deposited On:06 Nov 2009 07:23
Last Modified:05 Apr 2016 13:31
Publisher:Elsevier
ISSN:0362-546X
Publisher DOI:https://doi.org/10.1016/j.na.2008.04.036
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2503078

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