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Uniqueness for a Competing Species Model

Published online by Cambridge University Press:  20 November 2018

Leonid Mytnik
Leonid Mytnik*
Affiliation:
Department of Mathematics, The University of British Columbia, Room 121, 1984 Mathematics Road, Vancouver, B.C. V6T 1Z2 email: [email protected]
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Abstract

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We show that a martingale problem associated with a competing species model has a unique solution. The proof of uniqueness of the solution for the martingale problem is based on duality technique. It requires the construction of dual probability measures.

Keywords

60H1535R60stochastic partial differential equationmartingale problemduality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 2 , 01 April 1999 , pp. 372 - 448
Copyright
Copyright © Canadian Mathematical Society 1999

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