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Advanced variational analysis: new trends and applications

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedì 9 Febbraio 2009 alle ore 11 in aula 1AD/30 TA, Boris Mordukhovich (Wayne State University), terrà un seminario dal titolo "Advanced variational analysis: new trends and applications".

-Abstract
Variational analysis has been well recognized as a rapidly growing and fruitful area in mathematics motivated mainly by the study of constrained optimization and equilibrium problems, while also applying perturbation ideas and variational principles to a broad class of problems and situations that may be not of a variational nature. One of the most characteristic features of modern variational analysis is the intrinsic presence of nonsmoothness, which naturally enters not only through the initial data of the problems under consideration but largely via variational principles and perturbation techniques applied to a variety of problems with even smooth data.
Nonlinear systems and variational systems in applied sciences also give rise to nonsmooth structures and motive the development of new forms of analysis that rely on generalized differentiation. In this talk we discuss some new trends and developments in variational analysis and its numerous applications, emphasizing those to problems in optimization, variational; inequalities, and optimal control. It is partly based on the author's recent 2-volume book "Variational Analysis and Generalized Differentiation, I: Basic Theory, II: Applications," Springer-Grundlehren and also includes brand new results.

Rif. int. M. Bardi, G. Colombo, A. Cesaroni

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