Abstract
AbstractWe 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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