Počet záznamů: 1

Stochastic nonlinear wave equations in local Sobolev spaces

  1. 1.
    0345274 - UTIA-B 2011 RIV US eng J - Článek v odborném periodiku
    Ondreját, Martin
    Stochastic nonlinear wave equations in local Sobolev spaces.
    Electronic Journal of Probability. Roč. 15, č. 33 (2010), s. 1041-1091 ISSN 1083-6489
    Grant CEP: GA ČR GAP201/10/0752
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: stochastic wave equation
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.946, rok: 2010
    http://library.utia.cas.cz/separaty/2010/SI/ondrejat-0345274.pdf http://library.utia.cas.cz/separaty/2010/SI/ondrejat-0345274.pdf

    Existence of weak solutions of stochastic wave equations with nonlinearities of a critical growth driven by spatially homogeneous Wiener processes is established in local Sobolev spaces and local energy estimates for these solutions are proved. A new method to construct weak solutions is employed.
    Trvalý link: http://hdl.handle.net/11104/0186588