Law of large numbers in the supremum norm for a chemical reaction with diffusion (Q1186300)
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scientific article; zbMATH DE number 36422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Law of large numbers in the supremum norm for a chemical reaction with diffusion |
scientific article; zbMATH DE number 36422 |
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Law of large numbers in the supremum norm for a chemical reaction with diffusion (English)
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28 June 1992
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Refining earlier results of Kotelenez (1982-88), the author proves a theorem on space-time compactly uniform asymptotic consistency in probability of a random, discrete space, jump Markov model for the solution of the usual reaction-diffusion equation. The new theorem works in both linear and nonlinear settings, under conditions shown to be minimal. Also some exponential estimates to the convergence rate are obtained.
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uniform asymptotic consistency
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reaction-diffusion equation
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convergence rate
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