positive periodic solutions for the korteweg-de vries equation
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ID: 238636
2007
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Abstract
In this paper we prove that the Korteweg-de Vries equation $$ partial_t u+partial_x^3 u+upartial_x u=0 $$ has unique positive solution $u(t, x)$ which is $omega$-periodic with respect to the time variable $t$ and $u(0, x)in {dot B}^{gamma}_{p, q}([a, b])$, $gamma>0$, $gamma otin {1, 2, dots}$, $p>1$, $qgeq 1$, $a0$ is arbitrary chosen and fixed.
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georgiev2007electronicpositive
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| Authors | ;Svetlin G. Georgiev |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2007 |
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