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Measurability of the Solution of a Semilinear Evolution Equation

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Seminar on Stochastic Processes, 1990

Part of the book series: Progress in Probability ((PRPR,volume 24))

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Abstract

Let H be a real separable Hilbert space with an inner product and a norm denoted by <,and > ‖ ‖, respectively. Let (Ω,F,.F t ,P) be a complete stochastic basis with a right continuous filtration. Let Z be an H-valued cadlag semimartingale. Consider the initial value problem of semilinear stochastic evolution equation of the form:

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B.C., V6T1Y4, Canada

    Bijan Z. Zangeneh

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  1. Bijan Z. Zangeneh
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering and Operations Research, Princeton University, 08544, Princeton, NJ, USA

    E. Çinlar

  2. Department of Mathematics, University of California, San Diego, 92093, La Jolla, CA, USA

    P. J. Fitzsimmons  & R. J. Williams  & 

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© 1991 Springer Science+Business Media New York

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Zangeneh, B.Z. (1991). Measurability of the Solution of a Semilinear Evolution Equation. In: Çinlar, E., Fitzsimmons, P.J., Williams, R.J. (eds) Seminar on Stochastic Processes, 1990. Progress in Probability, vol 24. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-0562-0_18

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  • DOI: https://doi.org/10.1007/978-1-4684-0562-0_18

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3488-9

  • Online ISBN: 978-1-4684-0562-0

  • eBook Packages: Springer Book Archive

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