Nikolai A. Larkin, Marcio H. Simoes
Abstract:
This article is concerned with initial boundary value problems
for the Kawahara equation on bounded intervals.
For general linear boundary conditions and small initial data,
we prove the existence and uniqueness of a global regular solution
and exponential decay as t approaches infinty.
Submitted February 20, 2013. Published July 11, 2013.
Math Subject Classifications: 35M20, 35Q72.
Key Words: Kawahara equation; global solution; decay of solutions.
Show me the PDF file (286 KB), TEX file, and other files for this article.
 |
Nikolai A. Larkin Departamento de Matemática, Universidade Estadual de Maringá Av. Colombo 5790: Agência UEM, 87020-900 Maringá, PR, Brazil email: nlarkine@uem.br |
|---|---|
 |
Márcio Hiran Simões Universidade Tecnológica Federal do Paraná Rua Marcílio Dias 635 - 86812-460, Apucarana, PR, Brazil email: marcio@utfpr.edu.br |
Return to the EJDE web page