Coupled Reaction-Diffusion Equations

Mark Freidlin

doi:10.1214/aop/1176990535

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Home > Journals > Ann. Probab. > Volume 19 > Issue 1 > Article

January, 1991 Coupled Reaction-Diffusion Equations

Mark Freidlin

Ann. Probab. 19(1): 29-57 (January, 1991). DOI: 10.1214/aop/1176990535

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Abstract

We consider single equations and systems of reaction-diffusion equations depending on small parameter. These equations are generalizations of the Kolmogorov-Petrovskii-Piskunov equation. Using the large deviation principle, we describe the asymptotic behavior of solutions.