Academic Journals Database
Disseminating quality controlled scientific knowledge

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

ADD TO MY LIST
 
Author(s): Richard Alexander De la cruz Guerrero

Journal: Revista Sigma
ISSN 2027-064X

Volume: IX;
Start page: 12;
Date: 2009;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Modification for KdV equation | Local well-posedness | Sobolev spaces | local Lipschitz condition

ABSTRACT
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.
Why do you need a reservation system?      Affiliate Program