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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 6, Pages 858–867 (Mi zvmmf3247)  
Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case

V. Yu. Buchnev

Moscow
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Abstract: A zeroth-order boundary-layer asymptotic expansion is constructed and proved for solving a mixed boundary-value problem for a parabolic equation in the critical case. A smoothing procedure is applied to the nonsmooth terms of the asymptotic expansion when constructing the solution.
Received: 14.11.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 154–161
DOI: https://doi.org/10.1016/0041-5553(90)90204-6
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
MSC: Primary 35B40; Secondary 35B25, 35K10
Language: Russian
Citation: V. Yu. Buchnev, “Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990), 858–867; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 154–161
Citation in format AMSBIB
\Bibitem{Buc90}
\by V.~Yu.~Buchnev
\paper Asymptotic behaviour of the solution of the singularly perturbed parabolic problem in the critical case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 6
\pages 858--867
\mathnet{http://mi.mathnet.ru/zvmmf3247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1072119}
\zmath{https://zbmath.org/?q=an:0705.35013}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 154--161
\crossref{https://doi.org/10.1016/0041-5553(90)90204-6}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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