Colloquium
Variational Analysis: New Trends and Applications, by Boris Mordukhovich (Wayne State University)
| What | Colloquium |
|---|---|
| When |
Apr 29, 2008 from 04:10 pm to 05:00 pm |
| Where | Morton Hall 318 |
| Contact Name | Ivan Raykov |
| Contact Email | raykov@math.ohiou.edu |
| Contact Phone | 740-593-1282 |
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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. It is mostly based on the author’s recent 2-volume book “Variational Analysis and Generalized Differentiation, I: Basic Theory, II: Applications,” Springer--Grundlehren, 2006, while also include some brand new results. Applications concern various fields of mathematics and applied science. The talk does not require preliminary knowledge on the subject
