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A diffusion model with loss of particles

Published online by Cambridge University Press:  01 July 2016

Lech S. Papież  and
George A. Sandison
Lech S. Papież*
Affiliation:
Manitoba Cancer Foundation and University of Manitoba
George A. Sandison*
Affiliation:
Manitoba Cancer Foundation and University of Manitoba
*
Postal address for both authors; Department of Medical Physics, Manitoba Cancer Foundation, 100 Olivia Street, Winnipeg, Manitoba, Canada R3E 0V9 or Department of Physics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2.
Postal address for both authors; Department of Medical Physics, Manitoba Cancer Foundation, 100 Olivia Street, Winnipeg, Manitoba, Canada R3E 0V9 or Department of Physics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2.
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Abstract

The dynamical behaviour of particles which undergo diffusion with annihilation is modelled by a parabolic (Fokker–Planck) equation. Fundamental, closed-form solutions of this equation, identified with transition densities of the underlying stochastic process, are calculated by utilizing specific methods of probability measures on functional spaces and evolution semigroups.

Keywords

DIFFUSION WITH ANNIHILATIONWIENER MEASUREORNSTEIN–UHLENBECK BRIDGEEVOLUTION SEMIGROUPS

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 533 - 547
Copyright
Copyright © Applied Probability Trust 1990 

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