HIGH CONDUCTIVITY LIMITS FOR REACTION-DIFFUSION
EQUATIONS
Abstract: A reaction-diffusion equation on
with the heat conductivity
a
polynomial drift term, and an additive random perturbation is considered. It is shown that if
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: -