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Uniqueness for a Competing Species Model

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Published:1999-04-01
Printed: Apr 1999
• Leonid Mytnik
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Abstract

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: stochastic partial differential equation, Martingale problem, duality
 MSC Classifications: 60H15 - Stochastic partial differential equations [See also 35R60] 35R60 - Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]

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