Xavier Carvajal
Abstract:
In this note we show interesting local smoothing effects for the
unitary group associated to Korteweg-de Vries type equation.
Our main tools are the Hardy-Littlewood-Sobolev and Hausdorff-Young
inequalities. Using our local smoothing effect and a dual version,
we estimate the growth of the norm of solutions of the
complex modified KdV equation.
Submitted March 13, 2008. Published April 17, 2008.
Math Subject Classifications: 35A07, 35Q53.
Key Words: Modified KdV equation; KdV equation; local smoothing effect.
Show me the PDF file (199 KB), TEX file, and other files for this article.
Xavier Carvajal Instituto de Matemática - UFRJ Av. Horácio Macedo, Centro de Tecnologia, Cidade Universitária Ilha do Fundão, Caixa Postal 68530 21941-972 Rio de Janeiro, RJ, Brasil email: carvajal@im.ufrj.br |
Return to the EJDE web page