On space-time properties of solutions for nonlinear evolutionary equations with random initial data
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-typ...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1996 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/48048 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/48048 |
| Access Level: | acceso abierto |
| Palabra clave: | space-time properties Hölder exponents nonlinear evolutionary equations propiedades espacio-tiempo exponentes de Hölder ecuaciones no lineales evolutivas |
| Sumario: | 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. |
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