Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation
Authors:
Isamu Dôku
Affiliation:
(1) Department of Mathematics, Saitama University, Urawa, 338-8570, Japan
Abstract:
Nonlinear equation with catalytic noise is considered. We discuss the existence of catalytic superprocess associated with the equation and derive the exponential moment formula. Moreover, we prove the large deviation principle for catalytic superprocesses.