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Central limit theorem results for a reaction-diffusion equation with fast-oscillating boundary perturbations

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Stochastic Partial Differential Equations and Their Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 176))

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References

  1. Adler, R.J. (1981). The Geometry of Random Fields. Wiley, New York.

    Google Scholar 

  2. Freidlin, M.I. (1988). Random perturbations of reaction-diffusion equations: the quasi-deterministic approach. Trans. Amer. Math. Soc. 305, 665–697.

    Google Scholar 

  3. Freidlin, M.I. and Wentzell, A.D. Reaction-diffusion equations with randomly-perturbed boundary conditions. To appear.

    Google Scholar 

  4. Garsia, A. (1972). Continuity properties of Gaussian processes with multidimensional time parameter. Proc. Sixth Berkeley Symp. Math. Stat. Prob., 2, 369–374, Univ. of California Press, Berkeley.

    Google Scholar 

  5. Khas'minskii, R. Z. (1966). On stochastic processes defined by differential equations with a small parameter. Theory of Probability and Its Applications 9, No 2, 211–228.

    Google Scholar 

  6. Laha, R. G. and Rohatgi, V. K. (1979) Probability Theory. Wiley, New York.

    Google Scholar 

  7. Orey, S. and Pruitt, W. (1973) Sample functions of the N-parameter Wiener process. Annals of Probability 1, No 1, 138–163.

    Google Scholar 

  8. Skorohod, A.V. (1989). Translated by H. H. McFaden. Asymptotic Methods in the Theory of Stochastic Differential Equations. American Mathematical Society, Providence.

    Google Scholar 

  9. Sowers, R. B. Multidimensional reaction-diffusion equations with white noise boundary perturbations. Submitted.

    Google Scholar 

  10. Sowers, R. B. New Asymptotic Results for Stochastic Partial Differential Equations, Ph.D. Thesis, Department of Mathematics, University of Maryland, College Park (MD), March 1991.

    Google Scholar 

  11. Walsh, J.B. (1984). An introduction to stochastic partial differential equations. École d'Éte de Probabilités de Saint-Flour, XIV, Lect. Notes Math. 1180. Springer, New York.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, MD

    Mark I. Freidlin & Richard B. Sowers

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  1. Mark I. Freidlin
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  2. Richard B. Sowers
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Boris L. Rozovskii Richard B. Sowers

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© 1992 International Federation for Information Processing

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Freidlin, M.I., Sowers, R.B. (1992). Central limit theorem results for a reaction-diffusion equation with fast-oscillating boundary perturbations. In: Rozovskii, B.L., Sowers, R.B. (eds) Stochastic Partial Differential Equations and Their Applications. Lecture Notes in Control and Information Sciences, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007325

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  • DOI: https://doi.org/10.1007/BFb0007325

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55292-5

  • Online ISBN: 978-3-540-47015-1

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