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

Part of: Differential equations in abstract spaces Integral transforms, operational calculus Elliptic equations and systems Differential and difference algebra

Published online by Cambridge University Press:  09 April 2009

Tarik Berroug ,
Rabah Labbas  and
Boubaker-Khaled Sadallah
Tarik Berroug
Affiliation:
Université du Havre LMAH, BP 540 25 rue Philippe Lebon 76058 Le Havre cedexFrance e-mail: berroug.tarik@voila.fr rabah.labbas@univ-lehavre.fr
Rabah Labbas
Affiliation:
Lab. E.D.P. and Hist. of Maths Dept of Mathematics Ecole Normale Supérieure 16050-Kouba, AlgiersAlgeria e-mail: sadallah@ens-kouba.dz
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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.

Keywords

Hölder Spacesabstract elliptic equation.

MSC classification

Secondary: 12H20: Abstract differential equations 34G10: Linear equations 35J25: Boundary value problems for second-order elliptic equations 44A45: Classical operational calculus
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 3 , December 2006 , pp. 387 - 404
Copyright
Copyright © Australian Mathematical Society 2006

References

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