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Resolution in hölder spaces of an elliptic problem in an unbounded domain

Published online by Cambridge University Press:  09 April 2009

Tarik Berroug
Affiliation:
Université du Havre LMAH, BP 540 25 rue Philippe Lebon 76058 Le Havre cedexFrance e-mail: [email protected] [email protected]
Rabah Labbas
Affiliation:
Lab. E.D.P. and Hist. of Maths Dept of Mathematics Ecole Normale Supérieure 16050-Kouba, AlgiersAlgeria e-mail: [email protected]
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Abstract

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In this paper we give new results concerning the maximal regularity of the strict solution of an abstract second-order differential equation, with non-homogeneous boundary conditions of Dirichlet type, and set in an unbounded interval. The right-hand term of the equation is a Hölder continuous function.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

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