The generalized Korteweg-de Vries equation on the half line

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The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.
added references, fixed typos

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Analysis of PDEs, 35Q53

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http://salesiana.dossiersoluciones.com/handle/123456789/62751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111294
 http://arxiv.org/abs/math/0111294

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arXiv