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Limit theorems for a sequence of nonlinear reaction-diffusion systems

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  • Blount, Douglas

Abstract

A space-time jump Markov process, modeling a nonlinear chemical reaction with diffusion, is compared with the solution of a nonlinear reaction-diffusion equation. A central limit theorem and law of large numbers are shown to hold in the nicest possible state spaces.

Suggested Citation

  • Blount, Douglas, 1993. "Limit theorems for a sequence of nonlinear reaction-diffusion systems," Stochastic Processes and their Applications, Elsevier, vol. 45(2), pages 193-207, April.
    • Handle: RePEc:eee:spapps:v:45:y:1993:i:2:p:193-207
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    Cited by:

    1. Andersson, Håkan & Djehiche, Boualem, 1995. "Limit theorems for multitype epidemics," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 57-75, March.
    2. Blount, Douglas, 1996. "Fourier analysis applied to SPDEs," Stochastic Processes and their Applications, Elsevier, vol. 62(2), pages 223-242, July.

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