58th Course: VARIATIONAL ANALYSIS AND APPLICATIONS

May 14 2012 - 00:00
May 22 2012 - 13:00
Venue: 

INTERNATIONAL SCHOOL OF MATHEMATICS "GUIDO STAMPACCHIA", ERICE, SICILY

Short description of the event: 

The Workshop aims at presenting the state-of-the-art and current research on Variational Analysis
and its Applications. In the past decades Variational Analysis experienced rapid development and it
has become one of the most dynamic area of mathematics that bridges both abstract and applied
analysis and gives an excellent role in the application of mathematics to real world problems.
particular, Variational Analysis encompasses a large area of modern Mathematics, including the
classical Calculus of Variations, the Theories of Perturbation and of Approximation, Generalized
Differentiability, Set Convergence, Variational Inequalities and Partial Differential Equations. A
leader researcher in Variational Analysis, particularly in the field of Variational Inequalities and Partial
Differential Equations, was Guido Stampacchia the founder of Variational Inequalities in the
60's of the last century. The subsequent years have witnessed an outstanding attention to this theory
which covers applications of extreme interest related to mathematical physics and, more recently, to
engineering, statistics, economics, financial networks and generalized complementarity problems.
Several classical and new theories, such as those of evolutionary projected dynamical systems and
infinite dimensional duality, as well as research in discretized computational methods, have received
a decisive impulse in order to offer effective solutions to until now unsolved problems. The
same Guido Stampacchia, with the collaboration of M.K.V. Murthy, gave outstanding contribution
to the regularity theory of solutions to Partial Differential Equations, which have a great impact until
now. The outstanding results on Semicontinuity of variational integrals, homogenization and
Gamma-convergence, regularity of Elliptic PDE's and Systems, Free Discontinuity Problems, Variational
Image Segmentation Models, Symmetrization and Isoperimetric Inequalities, Free interface
problems derive, partially, from the contributions by Guido Stampacchia. The workshop aims to offer
a review of research themes, methods and open problems together with outlines of the new research
trends in all the above topics.

May 14th is the day of arrivals and May 22th is the day of departures and there will be no lectures
on those days. A shuttle service from the airports of Palermo and Trapani and also from the railway
stations will be provided both for arrival and departure of the participants.
A fee of 100 euro for each day is requested. This fee includes admission to the lectures,
accommodation, lunches, dinners, congress material, coffee-breaks, social dinner and one-day
excursion. You can pay this fee, according to the number of days of participation to the workshop,
at the arrival day by cash or by means of a bank transfer to the address you find below (using the
Italian or the international data). A reduced fee can be grant to participants who present a motivated
request.
The persons interested can request to give a twenty minutes short communication, sending title and
abstract. The request will be evaluated by the Directors of the Workshop. The proceedings after peer
review process will be published in a special issue of the journal Abstract and Applied Analysis.
Directors: N. FUSCO, A. MAUGERI, B.S. MORDUKHOVICH
APPLICATIONS
Persons wishing to attend the Course should apply, writing to:
Professor Antonino MAUGERI
Department of Mathematics and Computer Science
University of Catania
e-mail:maugeri@dmi.unict.it
fax: 0039-095330094
Viale A. Doria, 6 – 95125 CATANIA, Italy