On space-time properties of solutions for nonlinear evolutionary equations with random initial data

 

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Autore: Vaninsky, Kyrill I.
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:1996
Descrizione:We consider space-time properties of periodic solutions of nonlinear wave equations, nonlinear Schrödinger equations and KdV-type equations with initial data from the support of the Gibbs’ measure. For the wave and Schrödinger equations we establish the best Hölder exponents. We also discuss KdV-type equations which are more difficult due to a presence of the derivative in the nonlinearity.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/48048
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/48048
Keyword:space-time properties
Hölder exponents
nonlinear evolutionary equations
propiedades espacio-tiempo
exponentes de Hölder
ecuaciones no lineales evolutivas