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Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation |
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| Authors: | Isamu Dôku |
| Institution: | (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. |
| Keywords: | 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 |
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