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Elliptic and parabolic problems in unbounded domains

✍ Scribed by Patrick Guidotti

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
181 KB
Volume
272
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider elliptic and parabolic problems in unbounded domains. We give general existence and regularity results in Besov spaces and semi‐explicit representation formulas via operator‐valued fundamental solutions which turn out to be a powerful tool to derive a series of qualitative results about the solutions. We give a sample of possible applications including asymptotic behavior in the large, singular perturbations, exact boundary conditions on artificial boundaries and validity of maximum principles. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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