Eddye Bustamante, Jose Jimenez, Jorge Mejia
Abstract:
In this work we study the initial-value problem for the fifth-order
Korteweg-de Vries equation
in weighted Sobolev spaces
.
We prove local and global results. For the case
we point out the
relationship between decay and regularity of solutions of the
initial-value problem.
Submitted March 29, 2015. Published May 21, 2015.
Math Subject Classifications: 35Q53, 37K05.
Key Words: Nonlinear dispersive equations; weighted Sobolev spaces.
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Eddye Bustamante M. Departamento de Matemáticas Universidad Nacional de Colombia A. A. 3840 Medellín, Colombia email: eabusta0@unal.edu.co | |
José Jiménez U. Departamento de Matemáticas Universidad Nacional de Colombia A. A. 3840 Medellín, Colombia email: jmjimene@unal.edu.co | |
Jorge Mejía L. Departamento de Matemáticas Universidad Nacional de Colombia A. A. 3840 Medellín, Colombia email: jemejia@unal.edu.co |
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