Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
On space-time properties of solutions for nonlinear evolutionary equations with random initial data
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Keywords

space-time properties
Hölder exponents
nonlinear evolutionary equations
propiedades espacio-tiempo
exponentes de Hölder
ecuaciones no lineales evolutivas

How to Cite

Vaninsky, K. I. (1996). On space-time properties of solutions for nonlinear evolutionary equations with random initial data. Revista De Matemática: Teoría Y Aplicaciones, 3(1), 11–20. https://doi.org/10.15517/rmta.v3i1.48048

Abstract

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.

https://doi.org/10.15517/rmta.v3i1.48048
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References

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