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Delmas, Jean-François; Dhersin, Jean-Stéphane

Characterization of \(G\)-regularity for super-Brownian motion and consequences for parabolic partial differential equations. (English) Zbl 0943.60085

Ann. Probab. 27, No. 2, 731-750 (1999).
The authors give a characterization of the \(G\)-regularity for super-Brownian motion and the Brownian snake. This result can be viewed as a parabolic extension of Wiener test in an elliptic setting. They also give an estimate of the hitting probabilities for the support of super-Brownian motion at fixed time. Further they prove that if \(d\geq 2\), the support of super-Brownian motion is intersection-equivalent to the range of Brownian motion.
Reviewer: V.Thangaraj (Madras)

Cited in 2 Documents

MSC:

60J65 Brownian motion
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

\(G\)-regularity; super-Brownian motion; hitting probabilities
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\textit{J.-F. Delmas} and \textit{J.-S. Dhersin}, Ann. Probab. 27, No. 2, 731--750 (1999; Zbl 0943.60085)
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References:

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