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Stochastic Geometric Wave Equations

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    0447803 - ÚTIA 2016 RIV CH eng C - Conference Paper (international conference)
    Brzezniak, Z. - Ondreját, Martin
    Stochastic Geometric Wave Equations.
    Stochastic Analysis: A Series of Lectures. Cham: Springer, 2015, s. 157-188. Progress in Probability, 68. ISBN 978-3-0348-0908-5. ISSN 1050-6977.
    [Stochastic analysis and applications at the Centre Interfacultaire Bernoulli, Ecole Polytechnique Fédérale de Lausanne. Lausanne (CH), 09.01.2012-29.6.2012]
    R&D Projects: GA ČR GAP201/10/0752
    Institutional research plan: CEZ:AV0Z10750506
    Institutional support: RVO:67985556
    Keywords : Stochastic wave equation * Riemannian manifold * homogeneous space
    Subject RIV: BA - General Mathematics
    http://library.utia.cas.cz/separaty/2015/SI/ondrejat-0447803.pdf

    In these lecture notes we have attempted to elucidate the ideas behind the proof of the global existence of solutions to stochastic geometric wave equations whose solutions take values in a special class of Riemannian manifolds (which includes the two-dimensional sphere) published recently by the authors, see [10]. In particular, we aimed at those readers who could be frightened by the language of differential geometry.
    Permanent Link: http://hdl.handle.net/11104/0249581

     
     
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