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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 19, Fasc. 1,
pages 53 - 75
 

HIGH CONDUCTIVITY LIMITS FOR REACTION-DIFFUSION EQUATIONS

Shiva Zamani

Abstract: A reaction-diffusion equation on [0,1]d with the heat conductivity k > 0, a polynomial drift term, and an additive random perturbation is considered. It is shown that if k tends to infinity, then the corresponding solutions of the equation converge to a process satisfying an ordinary Itô equation.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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