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A stochastic reaction-diffusion model

Part of the Lecture Notes in Mathematics book series (LNM,volume 1390)

Keywords

  • Markov Process
  • Stochastic Partial Differential Equation
  • Markov Semigroup
  • Nonlinear Chemical Reaction
  • Homogeneous Neumann Boundary Condition

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References

  1. Arnold, L. and Theodosopulu, M. (1980). Deterministic limit of the stochastic model of chemical reactions with diffusion. Adv. Appl. Prob. 12, 367–379.

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  2. Dittrich, P. (1986). A stochastic model of a chemical reaction with diffusion. Preprint Akademie der Wissenschaften der DDR, Berlin

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  3. Dittrich, P. (1987). A stochastic particle system: Fluctuations around a nonlinear reaction-diffusion equation. To appear in Stochastic Processes Appl.

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  4. Dynkin, E.B. (1965). Markov Processes, 1, Springer Berlin.

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  5. Ethier, N.E. and Kurtz, T.G. (1986). Markov processes: Characterization and convergence. Wiley, New York.

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  6. Kotelenez, P. (1986). Law of large numbers and central limit theorem for linear chemical reactions with diffusion. Ann. Probab. 14, 173–193.

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  7. Kotelenez, P. (1986). Report 146, Forschungsschwerpunkt Dynamische Systeme, Universität Bremen.

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  8. Kotelenez, P. (1988). High density limit theorems for nonlinear chemical reactions with diffusion. Probab. Th. Rel. Fields 78, 11–37.

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  9. Kotelenez, P. (1988) Fluctuations in a Nonlinear Reaction-Diffusion Model (preprint-submitted).

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© 1989 Springer-Verlag

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Kotelenez, P. (1989). A stochastic reaction-diffusion model. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications II. Lecture Notes in Mathematics, vol 1390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083941

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  • DOI: https://doi.org/10.1007/BFb0083941

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51510-4

  • Online ISBN: 978-3-540-48200-0

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