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Well Posed Variational Problems and Friedrichs Extensions
Author(s) -
Dinca G.,
Mateescu D.
Publication year - 1990
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.3211480118
Subject(s) - mathematics , operator (biology) , monotone polygon , surjective function , regular polygon , variational method , pure mathematics , mathematical analysis , geometry , biochemistry , chemistry , repressor , transcription factor , gene
In this paper the concept of well posed variational problem is studied for the pair ( P , F f where P is a multivoque operator from B(P) c X into 2 X and 3,. is a convex functiont, Convenient hypotheses show that if the variational problem for the pair (P, 3 p) is well will then P can be extended up to a maximal monotone and surjective operator. Several applitint A (“temperature control” included) are also considered.