GENERALIZED FRAMEWORKS FOR FIRST-ORDER EVOLUTION INCLUSIONS BASED ON YOSIDA APPROXIMATIONS

被引：0

作者：

Verma, Ram U. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Generalized first-order evolution inclusions; variational problems; maximal monotone mapping; A-maximal relaxed monotone mapping; generalized resolvent operator; general Yosida approximations; VARIATIONAL INCLUSIONS; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First, general frameworks for the first-order evolution inclusions are developed based on the A-maximal relaxed monotonicity, and then using the Yosida approximation the solvability of a general class of first-order nonlinear evolution inclusions is investigated. The role the A-maximal relaxed monotonicity is significant in the sense that it not only empowers the first-order nonlinear evolution inclusions but also generalizes the existing Yosida approximations and its characterizations in the current literature.

引用

页数：6

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