Seminar in the framework of the PDE Afternoon

Type seminar
Time 15:00 - 15:45
Place Vienna University of Technology, Wiedner Hauptstraße 8, Vienna (map)
Room Seminarraum DA Grün 03B
Speaker Miroslav Bulíček (Charles University, Prague, Czech Republic)
Title Variational integrals with linear growth and limiting strain models
Abstract We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called Uhlenbeck structure, then the solution can in fact be understood as a standard weak solution, with one proviso: analogously as in the case of minimal surface equations, the attainment of the boundary value is penalized by a measure supported on (a subset of) the boundary, which, for the problems under consideration here, is the part of the boundary where a Neumann boundary condition is imposed. Finally, we will connect such elliptic systems with certain problems in elasticity theory - the limiting strain models.