Existence of Standing Waves for Competition-Diffusion Equations

Thumbnail Image
Files
94-158.pdf (212.61 KB)
Author(s)
Kan-On, Yukio
Advisor(s)
Editor(s)
Associated Organization(s)
Organizational Unit
Organizational Unit
Series
Collections
Research Publications
Supplementary to:
Permanent Link
http://hdl.handle.net/1853/29555
Abstract
In this paper, we shall consider the competition-diffusion equation with Lotka-Volterra type, and establish an existence theorem of a parameter family of standing waves which exponentially decay to a stable equilibrium point in the ODE sense. To do it, we shall employ the maximum principle and the bifurcation method for heteroclinic and homoclinic orbits.
Sponsor
Research partially carried out while visiting the Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology.
Date
1994
Extent
Resource Type
Text
Resource Subtype
Pre-print
Rights Statement
Rights URI