Mean viability and 2nd-order Hamilton-Jacobi-Bellman equations

Series
PDE Seminar
Time
Tuesday, November 12, 2024 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Christian Keller – University of Central Florida – christian.keller@ucf.eduhttps://sciences.ucf.edu/math/person/christian-keller/
Organizer
Lukas Wessels
I present a new approach of proving uniqueness for viscosity solutions of fully nonlinear 2nd-order Hamilton-Jacobi-Bellman equations. 
This approach is purely probabilistic. It uses the concept of mean viability and the closely related notion of quasi-contingent solution. 
Unlike all existing methods in the literature, my approach does not rely on finite-dimensional results. 
This is of relevance for genuinely infinite-dimensional open problems.