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Reaction-diffusion equations with white noise disturbance

  • Infinite-dimensional Stochastic Systems And Random Fields. Stochastic Partial Differential Equations
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Stochastic Differential Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 96))

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References

  1. R. Manthey, Weak convergence of solutions of the heat equation with Gaussian noise, Math. Nachr. 123 (1985) 157–168.

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  2. R. Manthey, On the solutions of reaction-diffusion equations with white noise, Forschungsergebnisse FSU Jena N/85/24.

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  3. R. Manthey, Existence, uniqueness and continuity of solutions to the Cauchy problem for reaction-diffusion equations with white noise, Forschungsergebnisse FSU Jena N/86/4.

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  4. Ch. Stiewe, G. Jetschke and R. Manthey, Nonlinear reaction-diffusion equations with white noise disturbance generate strong Markov processes, in preparation.

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  5. R. Manthey, Random measures as the solutions to the cable equation with white noise, in preparation.

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Authors and Affiliations

  1. Sektion Mathematik, Friedrich-Schiller-Universität Jena, Universitätshochhaus (17. OG), 6900, Jena, DDR

    R. Manthey

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  1. R. Manthey
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Hans Jürgen Engelbert Wolfgang Schmidt

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© 1987 Springer-Verlag

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Manthey, R. (1987). Reaction-diffusion equations with white noise disturbance. In: Engelbert, H.J., Schmidt, W. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038923

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  • DOI: https://doi.org/10.1007/BFb0038923

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18010-4

  • Online ISBN: 978-3-540-47245-2

  • eBook Packages: Springer Book Archive

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