August  2009, 24(3): 1025-1045. doi: 10.3934/dcds.2009.24.1025

Multidimensional periodic traveling waves in infinite cylinders

1. 

Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, China

Received  January 2008 Revised  August 2008 Published  April 2009

We study the existence and uniqueness, as well as various qualitative properties of periodic traveling waves for a reaction-diffusion equation in infinite cylinders. We also investigate the spectrum of the operator obtained by linearizing with respect to such a traveling wave. A detailed description of the spectrum is obtained.
Citation: Guangyu Zhao. Multidimensional periodic traveling waves in infinite cylinders. Discrete & Continuous Dynamical Systems - A, 2009, 24 (3) : 1025-1045. doi: 10.3934/dcds.2009.24.1025
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