caa a22 4500 475839188 CHVBK 20180406123856.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010747031490 doi (NATIONALLICENCE)springer-10.1023/A:1010747031490 Dôku Isamu Department of Mathematics, Saitama University, 338-8570, Urawa, Japan aut Exponential Moments of Solutions for Nonlinear Equations with Catalytic Noise and Large Deviation [Elektronische Daten] [Isamu Dôku] 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. Kluwer Academic Publishers, 2000 nonlinear reaction diffusion equation nationallicence catalyst process nationallicence catalytic medium nationallicence super-Brownian motion nationallicence superprocess nationallicence branching rate functional nationallicence branching measure-valued process nationallicence collosion local time nationallicence cumulant equation nationallicence large deviation nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 101-117 0167-8019 63:1-3<101 2000 63 10440 https://doi.org/10.1023/A:1010747031490 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010747031490 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dôku Isamu Department of Mathematics, Saitama University, 338-8570, Urawa, Japan aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 101-117 0167-8019 63:1-3<101 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer