Special Session 149: Recent developments in Free Boundary Problems and Nonlinear PDEs

Second-order regularity properties from one-side geometric control
Edgard Pimentel
University of Coimbra
Portugal
Co-Author(s):    
Abstract:
We establish second-order regularity properties for viscosity solutions of fully nonlinear PDE, in the presence of geometric control from below. As an application, we examine the regularity of the value functions to impulse optimal control problems.