Space-time regularity of catalytic super-Brownian motion

✍ Scribed by Henryk Zähle

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 358 KB
• Volume: 278
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310284

✦ Synopsis

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)