Frontiers in Mathematical Sciences
University of Isfahan - January 1-3, 2020
Nonlinear elliptic equations with gradient constraintsSpeaker:
Mohammad Safdari, Sharif University of Technology
Date, Time, and Venue: Wednesday, January 1 | 11:45-12:30 | Hall 2Abstract:
We consider nonlinear elliptic equations with gradient constraints, which arise from both variational and non-variational formulations. Equations of this type appear in the theory of elasticity, the study of random surfaces, or stem from dynamic programming in many stochastic singular control problems. We do not assume any regularity about the constraints; so the constraints need not be C1 or strictly convex. We will show that the solution to these problems have the optimal W2,∞ regularity.