Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation

Isamu Dôku
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Isamu Dôku: Saitama University, Department of Mathematics

A chapter in Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, 2001, pp 101-117 from Springer

Abstract: 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.

Keywords: 60G57; 60J80; 60F10; nonlinear reaction diffusion equation; catalyst process; catalytic medium; super-Brownian motion; superprocess; branching rate functional; branching measure-valued process; collosion local time; cumulant equation; large deviation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0842-6_6

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DOI: 10.1007/978-94-010-0842-6_6

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