"Probabilistic Interpretation of Solutions of Linear Ultraparabolic Equ" by Michael D. Marcozzi
 

Probabilistic Interpretation of Solutions of Linear Ultraparabolic Equations

Michael D. Marcozzi, University of Nevada, Las Vegas

Abstract

We demonstrate the existence, uniqueness and Galerkin approximatation of linear ultraparabolic terminal value/infinite-horizon problems on unbounded spatial domains. Furthermore, we provide a probabilistic interpretation of the solution in terms of the expectation of an associated ultradiffusion process.