Stochastic partial differential equations : a modeling, white noise functional approach

The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion noise. In this, the second edition, the authors extend the theory to include SPDEs driven by space-time Lévy pr...

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Bibliographische Detailangaben
Hauptverfasser: Holden, Helge, 1956-...., mathématicien, Øksendal, Bernt Karsten, 1945-...., économiste (VerfasserIn), Ubøe, Jan, 19..- (VerfasserIn), Zhang, Tusheng, 1963- (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer New York [20..].
Cham : Springer Nature
Ausgabe:2nd ed. 2010.
Schriftenreihe:Universitext
Schlagworte:
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Edition sous un autre format:• Stochastic partial differential equations, a modeling, white noise functional approach, by Helge Holden, Bernt Øksendal, Jan Ubøe... [et al.], 2nd edition, New York, Springer, 2010, 1 vol. (XV-304 p.), Universitext, 978-0-387-89487-4
Inhaltsangabe:
  • Preface to the Second Edition Preface to the First Edition Introduction Framework Applications to stochastic ordinary differential equations Stochastic partial differential equations driven by Brownian white noise Stochastic partial differential equations driven by Lévy white noise Appendix A. The Bochner-Minlos theorem Appendix B. Stochastic calculus based on Brownian motion Appendix C. Properties of Hermite polynomials Appendix D. Independence of bases in Wick products Appendix E. Stochastic calculus based on Lévy processes- References List of frequently used notation and symbols Index