El problema de Cauchy asociado a una perturbación no local de la ecuación de Benjamín–Ono periódica

Authors

  • Darwin Peña González

DOI:

https://doi.org/10.15665/rp.v10i2.238

Keywords:

Ecuaciones diferenciales parciales, buen planteamiento local del problema, espacios de Sobolev periódicos, Cauchy, Perturbación no local de la ecuación KdV.

Abstract

El propósito de este trabajo es estudiar el buen planteamiento local de la ecuación diferencial de Benjamin-Ono,
la cual se le agregaran dos cantidades, una disipativa y otra de inestabilidad y mediante técnicas
clásicas y en los espacios de Sobolev periódicos mostraremos la buena colocación del problema de
valor inicial, para s > 1/2 .

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Vol. 10 No. 2 (2012)

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