EXTENSION OF THE BREZIS-EKELAND-NAYROLES PRINCIPLE TO MONOTONE OPERATORS

EXTENSION OF THE BREZIS-EKELAND-NAYROLES PRINCIPLE TO MONOTONE OPERATORS
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将 BREZIS-EKELAND-NAYROLES 原理扩展到单调算子

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发表时间:
2008
期刊:
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通讯作者:
A. Visintin
A. Visintin
中科院分区:
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文献类型:
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作者:
A. Visintin

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数学上将。SCI。应用,18(2008),633-650摘要。本文研究形式为Du dt+α(U)�g in V�,A.E.的柯西问题.In)0,T(,u(0)=u 0。(∗)这里V是可分的自反Banach空间,α:V→P(V�)是极大单调算子,g和u0都有规定。一个下半连续凸泛函
Adv. Math. Sci. Appl., 18 (2008), 633-650 Abstract. This work deals with Cauchy problems of the form du dt + α(u) � g in V � , a.e. in )0 ,T ( ,u (0) = u 0 . (∗) Here V is a separable and reflexive Banach space, α : V→ P(V � ) is a maximal monotone operator, g and u 0 are prescribed. A lower semicontinuous convex functional