Multidimensional periodic traveling waves in infinite cylinders

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)1025-1045
Number of pages21
JournalDiscrete and Continuous Dynamical Systems
Volume24
Issue number3
DOIs
StatePublished - Jul 2009
Externally publishedYes

ASJC Scopus Subject Areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Periodic traveling waves
  • Spectrum analysis
  • Stability

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