Počet záznamů: 1

Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds

  1. 1.
    0362936 - UTIA-B 2012 RIV US eng J - Článek v odborném periodiku
    Brzezniak, Z. - Ondreját, Martin
    Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds.
    Communications in Partial Differential Equations. Roč. 36, č. 9 (2011), s. 1624-1653 ISSN 0360-5302
    Grant CEP: GA ČR GA201/07/0237
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: geometric wave equation * stochastic wave equation
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.894, rok: 2011
    http://library.utia.cas.cz/separaty/2011/SI/ondrejat-0362936.pdf http://library.utia.cas.cz/separaty/2011/SI/ondrejat-0362936.pdf

    Existence of a global weak solution of a stochastic wave equation with values in a compact Riemannian manifod driven by a spatially homogeneous Wiener process with finite spectral measure is proved. A recently introduced general method of constructing weak solutions of SPDEs that does not rely on any martingale representation theorem is employed.
    Trvalý link: http://hdl.handle.net/11104/0199102