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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 8, Pages 1270–1280
DOI: https://doi.org/10.7868/S0044466914080043 (Mi zvmmf10074) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity

A. A. Bykov, N. N. Nefedov, A. S. Sharlo

Faculty of Physics, Moscow State University, Moscow, 119991, Russia
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DOI: https://doi.org/10.7868/S0044466914080043
Abstract: The existence of a solution to a generalized Kolmogorov–Petrovskii–Piskunov equation is proved and its asymptotic expansion of the internal transition layer type is constructed. The convergence of the asymptotics is proved by applying the asymptotic comparison principle developed for a new class of problems.
Key words: nonlinear partial differential equations, comparison principle, contrast structure, internal transition layer, existence theorem, asymptotic expansion.
Received: 02.07.2013
Revised: 03.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 8, Pages 1234–1243
DOI: https://doi.org/10.1134/S096554251408003X
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: 35K57
Language: Russian
Citation: A. A. Bykov, N. N. Nefedov, A. S. Sharlo, “Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014), 1270–1280; Comput. Math. Math. Phys., 54:8 (2014), 1234–1243
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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