Compact Support Property of Super-Brownian Motion with Irregular Drift

Byadmin 16 August 202627 September 2026

Authors: Leonid Mytnik, Johanna Weinberger
Preprint year: 2026
First public date: 2026-08-16
arXiv: 2608.15616

Abstract

We study a one-dimensional stochastic partial differential equation describing super-Brownian motion with a bounded nonnegative drift that may be discontinuous at zero. Using a recursive layer decomposition into super-Brownian motions with immigration, we prove the compact support property, extend it by comparison to a broader class of drifts, and derive support-radius estimates that imply a positive extinction probability.

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Johanna Weinberger

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Abstract

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