Geodesic
Spike-type contrast structures in reaction-diffusion systems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 121-134

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Stationary internal layers of spike type for multidimensional reaction-diffusion problems were considered. We prove the existence of internal layers of this type, construct their asymptotics and investigate the stability of these stationary solutions. The consideration is based on an extension of singular limit eigenvalue problem method. 
@article{FPM_2006_12_5_a10,
     author = {N. N. Nefedov},
     title = {Spike-type contrast structures in reaction-diffusion systems},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {121--134},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a10/}
}
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N. N. Nefedov. Spike-type contrast structures in reaction-diffusion systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 121-134. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a10/