The Cauchy problem for a short-wave equation

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We prove an existence and uniqueness of solution for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.

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Analysis of PDEs, Classical Analysis and ODEs, Functional Analysis, 34A12; 34A34; 35Q35; 35Q5

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http://salesiana.dossiersoluciones.com/handle/123456789/219435

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2504
 http://arxiv.org/abs/0811.2504
 Electron. J. Diff. Eqns., Vol. 2009(2009), No. 08, pp. 1-9.

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arXiv