The ADMB-KdV equation in a time-weighted space

Amin Esfahani, Reza Pourgholi
ANNALI DELL'UNIVERSITA' DI FERRARA - 59, 2, 269-283 - January, 2013 - .
Publication year: 2013
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ABSTRACT

This paper studies the ADM-BKdV equation. The associated initial value problem will be proved to be locally well-posed in anisotropic Sobolev spaces

$H^{s_1,s_2}\left( \mathbb R ^2\right) $
for

$s_1>-3/2,\,s_2>-1/2$
and

$2s_1+4s_2>-1$
.