Abstract:
This article is devoted to a study of the boundary behavior of solutions of the Dirichlet problem for the biharmonic equation in arbitrary plane regions.
Citation:
V. A. Kondrat'ev, J. Kopáček, O. A. Oleinik, “On the continuity type on the boundary of nonregular domain of the generalized solution of the Dirichlet problem for biharmonic equation”, Math. USSR-Sb., 69:2 (1991), 607–620
\Bibitem{KonKopOle90}
\by V.~A.~Kondrat'ev, J.~Kop\'a{\v{c}}ek, O.~A.~Oleinik
\paper On the continuity type on the boundary of nonregular domain of the generalized solution of the Dirichlet problem for biharmonic equation
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 2
\pages 607--620
\mathnet{http://mi.mathnet.ru/eng/sm1189}
\crossref{https://doi.org/10.1070/SM1991v069n02ABEH001248}
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\zmath{https://zbmath.org/?q=an:0702.31002|0724.31001}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..69..607K}
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Linking options:
https://www.mathnet.ru/eng/sm1189
https://doi.org/10.1070/SM1991v069n02ABEH001248
https://www.mathnet.ru/eng/sm/v181/i4/p564
This publication is cited in the following 5 articles:
M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, Journal of Mathematical Sciences, 190:1 (2013), 1–7
Chernyshov A., “Oscillations of Complex Physical Fields in a Triangular Domain”, Differ. Equ., 38:5 (2002), 754–757
Chernyshov A., “Exact Solutions of the Problem on the Oscillation of Complicated Fields in a Sector”, Differ. Equ., 34:3 (1998), 427–430
N. S. Bakhvalov, S. P. Novikov, A. T. Fomenko, “Ol'ga Arsen'evna Oleinik (on her seventieth birthday)”, Russian Math. Surveys, 50:4 (1995), 837–848
Levashkin S., “Continuity at the Boundary of Solutions to the Dirichlet Problem for Navier–Stokes Equations in a Nonsmooth Domain”, Differ. Equ., 29:6 (1993), 894–902