SOBRE EL PROBLEMA DE CAUCHY PARA UN SISTEMA PARTICULAR DE ECUACIONES DE KDV
Abstract
En este trabajo estudiaremos la buena colocación local del problema de valor inicial asociado al sistema de ecuaciones de KdV. Usando las estimaciones biliniales establecidas por Kenig, Ponce y Vega en el espacio de restricciones de la transformada de Fourier probaremos el resultado local para un dato inicial dado en un espacio de Sobolev de orden mayor que −3/4.
Palabras claves. Problema de Cauchy, buen planteamiento y existencia.
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