Uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n

Series: 
Dissertation Defense
Monday, April 25, 2016 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Institute of Technology
,  
The main goal of the thesis is to study integro-differential equations. Integro-differential equations arise naturally in the study of stochastic processes with jumps. These types of processes are of particular interest in finance, physics and ecology. In the thesis, we study uniqueness, existence and regularity of solutions of integro-PDE in domains of R^n.