On the convergence of solutions of multivalued
parabolic equations and applications


Z. Denkowski, denkowski(at)softlab.ii.uj.edu.pl
S. Migórski, migorski(at)softlab.ii.uj.edu.pl
    Jagiellonian University, Institute of Computer Science, Nawojki 11, 30-072 Cracow, Poland

         Nikolaos S. Papageorgiou, npapg(at)math.ntua.gr 
         National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece

Pages: 18

Abstract: In this paper we examine parametric nonlinear parabolic problems with multivalued terms. Using a general notion of G-convergence for such operators we prove a convergence theorem for the solution sets of the corresponding Cauchy-Dirichlet problem. We also study a related minimax control problem.

Keywords: G-convergence, maximal monotone operator, coercive operator, existence theorem, multivalued operator, minimax problem.

The paper appeared in Nonlinear Analysis: Theory, Methods & Applications, Vol. 54, Issue 4, 2003, pp. 667-682.