Normal solvability of general linear elliptic problems
Author(s) -
Aizik Volpert,
Vitaly Volpert
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.733
Subject(s) - mathematics , bounded function , limiting , mathematical analysis , nirenberg and matthaei experiment , pure mathematics , mechanical engineering , engineering
The paper is devoted to general elliptic problems in theDouglis-Nirenberg sense. We obtain a necessary and sufficientcondition of normal solvability in the case of unbounded domains.Along with the ellipticity condition, proper ellipticity andLopatinsky condition that determine normal solvability ofelliptic problems in bounded domains, one more conditionformulated in terms of limiting problems should be imposed in thecase of unbounded domains
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