[CvGmt News] Mordukhovich/Uraltseva/CVGMT/16:00/4 May

[Valentino Magnani]

Dear All,

It is a great pleasure to announce that 

. On Thursday, 4 May 
. In ``Aula Magna'' of the Mathematics Department

I) At 16:00.  Boris Mordukhovich,
              (Department of Mathematics, Wayne State University)
              will give a lecture on
         
``Methods of variational analysis in optimization and control''


II) At 17:30. N.N. Uraltseva
              (St. Petersburg State University)
              will give a lecture on

``Two-phase obstacle problem''


ABSTRACT I.
Variational analysis has been recognized as a rapidly growing and fruitful 
area in mathematics concerning mainly the study of 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. It can be viewed as a modern outgrowth 
of the classical calculus of variations, optimal control theory, and 
mathematical programming with the focus on perturbation/approximation 
techniques, sensitivity issues, and applications. One of the most 
characteristic features of modern variational analysis is the intrinsic 
presence of nonsmoothness, which naturally enters not only through initial 
data of optimization-related problems but largely via variational 
principles and perturbation techniques applied to problems with even 
smooth data. This requires developing new forms of analysis that involve 
generalized differentiation.

In this talk we discuss some new trends and developments in variational 
analysis and its applications mostly based on the author’s recent 
2-volume book “Variational Analysis and Generalized Differentiation, I: 
Basic Theory, II: Applications,” Springer, 2006. Applications 
particularly concern optimization and equilibrium problems, optimal 
control of ODEs and PDEs, mechanics, and economics. The talk does not 
require preliminary knowledge on the subject.




ABSTRACT II.
The regularity of the free boundary in the obstacle-like
problem in the presence of two phases will be proved.