O. A. Oleinik, T. D. Venttsel', “The first boundary problem and the Cauchy problem for quasi-linear equations of parabolic type”, Sb. Math., 83:1 (1957)

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Matematicheskii Sbornik. Novaya Seriya, 1957, Volume 41(83), Number 1, Pages 105–128 (Mi sm5017)

This article is cited in 9 scientific papers (total in 9 papers)

The first boundary problem and the Cauchy problem for quasi-linear equations of parabolic type

O. A. Oleinik, T. D. Venttsel'

Full-text PDF (2056 kB) Citations (9)

Received: 08.12.1955

Bibliographic databases:

Language: Russian

Citation: O. A. Oleinik, T. D. Venttsel', “The first boundary problem and the Cauchy problem for quasi-linear equations of parabolic type”, Sb. Math., 83:1 (1957)

Citation in format AMSBIB

\Bibitem{OleVen57}

\by O.~A.~Oleinik, T.~D.~Venttsel'

\paper The first boundary problem and the Cauchy problem for quasi-linear equations of parabolic type

\jour Sb. Math.

\yr 1957

\vol 83

\issue 1

\mathnet{http://mi.mathnet.ru/eng/sm5017}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=86247}

\zmath{https://zbmath.org/?q=an:0078.27605}

Linking options:

https://www.mathnet.ru/eng/sm5017

https://www.mathnet.ru/eng/sm/v83/i1/p105

This publication is cited in the following 9 articles:

S. V. Svinina, “On a quasi-linear partial differential algebraic system of equations”, Comput. Math. Math. Phys., 59:11 (2019), 1791–1805
S. V. Svinina, “Ob ustoichivosti splain-kollokatsionnoi raznostnoi skhemy dlya polulineinoi differentsialno-algebraicheskoi sistemy indeksa (1,0)”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 25 (2018), 93–108
S. V. Svinina, “Stability of a spline collocation difference scheme for a quasi-linear differential algebraic system of first-order partial differential equations”, Comput. Math. Math. Phys., 58:11 (2018), 1775–1791
A. V. Gasnikov, “Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity”, Izv. Math., 73:6 (2009), 1111–1148
P. V. Vinogradova, A. G. Zarubin, “Error estimates for the Galerkin method as applied to time-dependent equations”, Comput. Math. Math. Phys., 49:9 (2009), 1567–1575
A. V. Gasnikov, “Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves”, Comput. Math. Math. Phys., 48:8 (2008), 1376–1405
R. G. Akhmetov, “An asymptotic expansion of the solution for a convective diffusion problem in the trace of a drop”, Comput. Math. Math. Phys., 44:6 (2004), 1007–1023
R. G. Akhmetov, “Asymptotics of solution for a problem of convective diffusion with volume reaction near a spherical drop”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S8–S12
R. G. Akhmetov, “Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction”, Comput. Math. Math. Phys., 42:10 (2002), 1538–1546

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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