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Space‐time regularity of catalytic super‐Brownian motion

Henryk Zähle

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Abstract

Abstract We study the question for which catalysts does the catalytic super‐Brownian motion in R have a jointly continuous space‐time Lebesgue density. As it turns out, there is a large class of non‐atomic catalysts inducing a regular density. The latter can be characterized as the unique solution to a certain stochastic partial differential equation driven by an inhomogeneous space‐time white noise. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Abstract We study the question for which catalysts does the catalytic super‐Brownian motion in R have a jointly continuous space‐time Lebesgue density. As it turns out, there is a large class of non‐atomic catalysts inducing a regular density. The latter can be characterized as the unique solution to a certain stochastic partial differential equation driven by an inhomogeneous space‐time white noise. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Available abstract

Abstract We study the question for which catalysts does the catalytic super‐Brownian motion in R have a jointly continuous space‐time Lebesgue density. As it turns out, there is a large class of non‐atomic catalysts inducing a regular density. The latter can be characterized as the unique solution to a certain stochastic partial differential equation driven by an inhomogeneous space‐time white noise. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Key concepts: Mathematics, Brownian motion, Motion (physics), Lebesgue integration, Class (philosophy), White noise, Stochastic differential equation, Space (punctuation)

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