Compact support property of SuperBrownian Motion in random environments
Guohuan Zhao
TL;DR
This paper proves that the density of one-dimensional Super-Brownian Motion in a random environment has the compact support property, advancing understanding of its spatial behavior under randomness.
Contribution
It establishes the compact support property for a class of nonlinear SPDEs, including those describing Super-Brownian Motion in random environments, which was previously unproven.
Findings
Proves compact support property for the density of Super-Brownian Motion in random environments.
Extends the understanding of spatial properties of nonlinear SPDEs.
Provides a rigorous mathematical proof for the support property.
Abstract
In this paper, we prove the compact support property for a class of nonlinear SPDE including the equation that the density of one-dimensional Super-Brownian Motion in random environment satisfies.
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Taxonomy
TopicsStochastic processes and financial applications · Stochastic processes and statistical mechanics · Economic theories and models