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Stochastic homogenization of subdifferential inclusions via scale integration
stochastic homogenization differential inclusion scale integration
2011/9/5
Abstract: We study the stochastic homogenization of the system -div \sigma^\epsilon = f^\epsilon \sigma^\epsilon \in \partial \phi^\epsilon (\nabla u^\epsilon), where (\phi^\epsilon) is a sequence of ...
Limiting Convex Examples for Nonconvex Subdifferential Calculus
Nonsmooth analysis subdifferentials coderivatives extremal principle open mapping theorem metric regularity multiplier rules compactly Lipschitzian conditions
2009/1/23
We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.
A New Subdifferential in Quasiconvex Analysis
Greenberg-Pierskalla quasi-subdifferential Frechet subdifferential quasiconvexity
2009/1/19
We introduce a new notion of subdifferential, which we call Q-subdifferential, for functions defined on subsets of normed spaces. The Q-subdifferential is a subset of the Greenbeg-Pierskalla quasi-sub...
Elements of Quasiconvex Subdifferential Calculus
Calculus subdifferential constructed lower subdifferential
2009/1/13
A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particu...