The Fitzpatrick function - a bridge between convex analysis and multivalued stochastic differential equations

Details The Fitzpatrick function - a bridge between convex analysis and multivalued stochastic differential equations The Fitzpatrick function - a bridge between convex analysis and multivalued stochastic differential equations

2008-09-25

arxiv.org/abs/0809.4447v4

Mathematics

Optimization and Control

35 pages, Journal of Convex Analysis

Scientific paper

Using the Fitzpatrick function, we characterize the solutions for different classes of deterministic and stochastic differential equations driven by maximal monotone operators (or in particular subdifferential operators) as the minimum point of a suitably chosen convex lower semicontinuous function. Such technique provides a new approach for the existence of the solutions for the considered equations.

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