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Fundamentalnaya i Prikladnaya Matematika, 1999, Volume 5, Issue 2, Pages 385–409 (Mi fpm383)  
On periodic contrast structures in singularly perturbed elliptic equations

V. F. Butuzov, I. V. Nedelko

M. V. Lomonosov Moscow State University
Full-text PDF (966 kB)
Abstract: The periodic solutions having internal layers in two-dimensional singularly perturbed elliptic equation with different powers of small parameter at higher derivatives are constructed. The existence of spike-type and step-type contrast structures is proved and asymptotics of the contrast structures are constructed.
Received: 01.09.1997
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. F. Butuzov, I. V. Nedelko, “On periodic contrast structures in singularly perturbed elliptic equations”, Fundam. Prikl. Mat., 5:2 (1999), 385–409
Citation in format AMSBIB
\Bibitem{ButNed99}
\by V.~F.~Butuzov, I.~V.~Nedelko
\paper On~periodic contrast structures in singularly perturbed elliptic equations
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 2
\pages 385--409
\mathnet{http://mi.mathnet.ru/fpm383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1803590}
\zmath{https://zbmath.org/?q=an:0969.35060}
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