Well Posed Variational Problems and Friedrichs Extensions | Zendy

Dinca G. | Zendy; Mateescu D. | Zendy

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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.

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