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Almost-periodic solutions of elliptic and parabolic equations in unbounded domains

Published online by Cambridge University Press:  12 July 2007

M. Amar  and
R. Gianni
M. Amar
Affiliation:
Dipartimento di Metodi e Modelli Matematici, Università ‘La Sapienza’ di Roma, Via A. Scarpa 16, 00161 Roma, [email protected]
R. Gianni
Affiliation:
Dipartimento di Metodi e Modelli Matematici, Università ‘La Sapienza’ di Roma, Via A. Scarpa 16, 00161 Roma, [email protected]
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Abstract

This paper is devoted to the study of the existence and uniqueness of almost-periodic solutions for elliptic and parabolic partial differential equations in unbounded domains. This kind of investigation had originally been motivated by the study of the so-called boundary layers, whose behaviour is crucial in the framework of periodic homogenization.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1275 - 1306
Copyright
Copyright © Royal Society of Edinburgh 2002

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