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Multidimensional periodic traveling waves in infinite cylinders

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  • 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.
    Mathematics Subject Classification: 35K57, 35B10, 35N35.

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