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Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
 
 
Description: 

We study  the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial derivatives of the solutions. The quasi-linear operators are of monotone type, but are not required to be coercive for the existence of weak solutions, which is obtained by a double penalization/regularization for the approximation of the solutions. In the case of time-dependent convex sets that are independent of the solution, we also show the uniqueness and the continuous dependence of the strong solutions of the variational inequalities, extending previous results to a more general framework.


(Joint work with Fernando Miranda and José Francisco Rodrigues)

Date:  2019-03-22
Start Time:   14:30
Speaker:  Lisa Santos (Univ. Minho)
Institution:  Univ. Minho
Place:  Room 5.5
Research Groups: -Analysis
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