Large time behavior of interface solutions to the heat equation with Fisher-Wright white noise View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-09

AUTHORS

Roger Tribe

ABSTRACT

The one-dimensional heat equation driven by Fisher-Wright white noise is studied. From initial conditions with compact support, solutions retain this compact support and die out in finite time. There exist interface solutions which change from the value 1 to the value 0 in a finite region. The motion of the interface location is shown to approach that of a Brownian motion under rescaling. Solutions with a finite number of interfaces are approximated by a system of annihilating Brownian motions. More... »

PAGES

289-311

References to SciGraph publications

  • 1986-01. A weighted occupation time for a class of measured-valued branching processes in PROBABILITY THEORY AND RELATED FIELDS
  • 1989-09. Super-Brownian motion: Path properties and hitting probabilities in PROBABILITY THEORY AND RELATED FIELDS
  • 1986. An introduction to stochastic partial differential equations in ÉCOLE D'ÉTÉ DE PROBABILITÉS DE SAINT FLOUR XIV - 1984
  • 1988. Stepping Stone Models in Population Genetics and Population Dynamics in STOCHASTIC PROCESSES IN PHYSICS AND ENGINEERING
  • 1989-04. One dimensional stochastic partial differential equations and the branching measure diffusion in PROBABILITY THEORY AND RELATED FIELDS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01192463

    DOI

    http://dx.doi.org/10.1007/bf01192463

    DIMENSIONS

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