JournalsdmVol. 19pp. 1141–1153

Existence of stationary pulses for nonlocal reaction-diffusion equations

  • Vitaly Volpert

    Institut Camille Jordan University of Toronto UMR 5208 CNRS Department of Mathematics University Lyon 1 Toronto, Ontario 69622 Villeurbanne M5S 2E4 Canada France

  • Vitali Vougalter

    Institut Camille Jordan University of Toronto UMR 5208 CNRS Department of Mathematics University Lyon 1 Toronto, Ontario 69622 Villeurbanne M5S 2E4 Canada France
Existence of stationary pulses for nonlocal reaction-diffusion equations cover
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Abstract

A nonlocal reaction-diffusion equation and a system of equations from population dynamics are considered on the whole axis. Existence of solutions in the form of stationary pulses is proved by a perturbation method. It is based on spectral properties of the linearized operators and on the implicit function theorem.

Cite this article

Vitaly Volpert, Vitali Vougalter, Existence of stationary pulses for nonlocal reaction-diffusion equations. Doc. Math. 19 (2014), pp. 1141–1153

DOI 10.4171/DM/477