Premium
Elliptic and parabolic problems in unbounded domains
Author(s) -
Guidotti Patrick
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310187
Subject(s) - mathematics , elliptic operator , operator (biology) , representation (politics) , boundary (topology) , mathematical analysis , semi infinite , series (stratigraphy) , pure mathematics , paleontology , biology , biochemistry , chemistry , repressor , politics , political science , transcription factor , law , gene
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. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)