Extension of Some Lions-Magenes Theorems

• Datum: 2009
• ISSN: 1029-3531
• 1. Verfasser: Murach, A.A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2009
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/5709
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Extension of some Lions - Magenes theorems / A.A. Murach // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 152-167. — Бібліогр.: 38 назв. — англ.

A general form of the Lions - Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the elliptic equation under which the operator of the problem is bounded and has a...