Geodesic
Existence of stationary pulses for nonlocal reaction-diffusion equations
Documenta mathematica, Tome 19 (2014), pp. 1141-1153
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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.
DOI : 10.4171/dm/477
Classification : 35A16, 35K57, 92D15
Mots-clés : reaction-diffusion equation, existence of pulse solutions, perturbation methods 
@article{10_4171_dm_477,
     author = {Vitaly Volpert and Vitali Vougalter},
     title = {Existence of stationary pulses for nonlocal reaction-diffusion equations},
     journal = {Documenta mathematica},
     pages = {1141--1153},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/477},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/477/}
}
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Vitaly Volpert; Vitali Vougalter. Existence of stationary pulses for nonlocal reaction-diffusion equations. Documenta mathematica, Tome 19 (2014), pp. 1141-1153. doi: 10.4171/dm/477

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