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Random Data Cauchy Problem for Some Dispersive Equations

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Stochastic Partial Differential Equations and Related Fields (SPDERF 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 229))

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Abstract

Dispersive equations with Hamiltonian structures possess interesting dynamical properties. This subject has attracted a lot of attention recently. We present a brief overview of recent works on the random data Cauchy problems for a Schrödinger-type equation, a wave equation, and a KdV-type equation.

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Acknowledgements

Part of this work was done while Wei Yan was visiting Department of Applied Mathematics, Illinois Institute of Technology, Chicago, USA.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, China

    Wei Yan

  2. Department of Applied Mathematics, Illinois Institute of Technology, Chicago, USA

    Jinqiao Duan

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  1. Wei Yan
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  2. Jinqiao Duan
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Correspondence to Jinqiao Duan .

Editor information

Editors and Affiliations

  1. Institute for Applied Mathematics, University of Bonn, Bonn, Germany

    Andreas Eberle

  2. Fachbereich Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    Martin Grothaus

  3. Faculty of Mathematics, Bielefeld University, Bielefeld, Germany

    Walter Hoh

  4. Faculty of Mathematics, Bielefeld University, Bielefeld, Germany

    Moritz Kassmann

  5. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Wilhelm Stannat

  6. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul, Korea (Republic of)

    Gerald Trutnau

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Yan, W., Duan, J. (2018). Random Data Cauchy Problem for Some Dispersive Equations. In: Eberle, A., Grothaus, M., Hoh, W., Kassmann, M., Stannat, W., Trutnau, G. (eds) Stochastic Partial Differential Equations and Related Fields. SPDERF 2016. Springer Proceedings in Mathematics & Statistics, vol 229. Springer, Cham. https://doi.org/10.1007/978-3-319-74929-7_15

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