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Buen planteamiento local para una modificación de la ecuación Korteweg-De Vries

Author(s): Richard Alexander De la cruz Guerrero

Journal: Revista Sigma
ISSN 2027-064X

Volume: IX;
Start page: 12;
Date: 2009;
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Keywords: Modification for KdV equation | Local well-posedness | Sobolev spaces | local Lipschitz condition

In this work, we prove that the Cauchy problem(ut + ux + uxxx = sin uu(x, 0) = u0(x)is locally well-posed in Sobolev spaces Hs (R) with s > 12 . This equation is a modificationto Korteweg-De Vries equation which has been widely studied for its importance in fluidmechanics.
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