We prove existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation,
,
with periodic boundary condition.
Silvio Marques A. Gama, Gueorgui Smirnov
Abstract:
We prove existence and uniqueness of solutions for the
Cauchy problem of the simplest nonlinear short-wave equation,
,
with periodic boundary condition.
Submitted July 18, 2008. Published January 6, 2009.
Math Subject Classifications: 34A12, 34A34, 35Q35, 35Q53.
Key Words: Cauchy problem; Benjamin-Bona-Mahony-Perigrine equation;
short-waves.
Show me the PDF file (202 KB), TEX file, and other files for this article.
 |
Silvio Marques A. Gama Centro de Matemática da Universidade do Porto and Departamento de Matemática Aplicada Faculdade de Ciências da Universidade do Porto Rua do Campo Alegre, 687, 4169-007 Porto, Portugal email: smgama@fc.up.pt |
|---|---|
 |
Gueorgui Smirnov Centro de Matemática da Universidade do Porto and Departamento de Matemática Aplicada Faculdade de Ciências da Universidade do Porto Rua do Campo Alegre, 687, 4169-007 Porto, Portugal email: gsmirnov@fc.up.pt |
Return to the EJDE web page