Geodesic
Existence of stationary pulses for nonlocal reaction-diffusion equations
Documenta mathematica, Tome 19 (2014), pp. 1141-1153.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K57, 35A16, 92D15
Keywords: reaction-diffusion equation, existence of pulse solutions, perturbation methods 
@article{DOCMA_2014__19__a6,
     author = {Volpert, Vitaly and Vougalter, Vitali},
     title = {Existence of stationary pulses for nonlocal reaction-diffusion equations},
     journal = {Documenta mathematica},
     pages = {1141--1153},
     publisher = {mathdoc},
     volume = {19},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a6/}
}
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Volpert, Vitaly; Vougalter, Vitali. Existence of stationary pulses for nonlocal reaction-diffusion equations. Documenta mathematica, Tome 19 (2014), pp. 1141-1153. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a6/