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Boundary integral equations of elasticity in domains with piecewise smooth boundaries

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1192))

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References

  1. MAZ'YA, V. G.: Integral equations of the potential theory in domains with piecewise smooth boundaries. Uspehi Matem.Nauk, v. 36, n 4, 1981 p. 229–230.

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  2. MAZ'YA, V. G.: On solvability of integral equations in the classical theory of elasticity in domains with piecewise smooth boundaries. Republican School-Conf. General Mechanics and Elasticity Theory (Telavi, 1981), Abstracts of Reports, Tbilisi, 1981, pp. 55–56.

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  3. MAZ'YA, V. G.: The potential theory for the Lamè system in domains with piecewise smooth boundaries. Proc. of the Conference on the Partial Diff. Equations in Memoriam of I. N. Vekua, Tbilisi 1982 (to appear).

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  4. MAZ'YA, V. G. and PLAMENEVSKII, B. A.: LP-estimates of solutions of elliptic boundary value problems in domains with edges. Trudy Moskov. Mat. Obshch. 37 (1978), 49–93; English transl. in Trans. Moscow Math. Soc. 1980, no. 1 (37).

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  8. —: The first bounding value problem for the classical equations of mathematical physies in domains with piecewise smooth boundaries (I) Zeitschrift für Analysis und ihre Anwendungen, Bd. 2 (4) 1983, S. 335–359; (II) ibid. Bd. 2 (6) 1983, S.523–551.

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  10. ZARGARYAN, S. S. and MAZ'YA, V. G.: On singularities of solutions of a system of integral equations in potential theory for the Zaremba problem. Vestn. Leningrad. Univ. Math. 1983, n 1. English transl.vol. 16 (1984), p. 49–55.

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  11. ZARGARYAN, S. S. and MAZ'YA, V. G.: On the asymptotic behavior of solutions of integral equations in potential theory in a neighborhood of corner points of the contour. Prikl. Mat. Mekh. vol. 48, n 1, 1984; English transl. in J. Appl. Math. Mech. 48 (1984).

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  12. MAZ'YA, V. G. and PLAMENEVSKII, B. A.: On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isclated singular points. Dinamika Sploshnoj Sredy, Novosibirsk, n 50 (1981), p. 99–120 English transl. in Amer. Math. Soc. Transl. (2), vol. 123, 1984, p. 109–123.

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Authors and Affiliations

  1. Petrodvoretz. Math. Mech. Faculty, Leningrad University, Bibliotechnaya pl. 2, Leningrad, Russian Federation

    V. G. Maz'ya

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  1. V. G. Maz'ya
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Jaromír Vosmanský Miloš Zlámal

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© 1986 Equadiff 6 and Springer-Verlag

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Maz'ya, V.G. (1986). Boundary integral equations of elasticity in domains with piecewise smooth boundaries. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076075

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  • DOI: https://doi.org/10.1007/BFb0076075

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  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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