Events

30. November 2023, 15:00 until 19:00
AKOR Seminar: Comparison principle and regularity for a nonlocal equation, Le Minh Tri, TU Wien
Presentation
In this talk, we provide a short introduction to the concept of viscosity solutions for partial integro-differential equations that have coercive Hamiltonians. The nonlocal operators involved here include the classical (weighted) fractional Laplace and Lévy-Itô operators. Our focus will be the utility of the doubling variable technique in proving the comparison principle, as well as the Lipschitz and Holder continuity of viscosity solutions.