On the convergence of solutions of
multivalued
parabolic equations and applications |

**Preprint**

(2002)**Author(s):
**Z. Denkowski,

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.