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To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane

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Partial Differential and Integral Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 2))

Abstract

A new approach to elliptic boundary value problems for domains with piecewise smooth boundary in the plane is developed with the help of (in Douglis sense) hyperanalytic functions. With respect to the elliptic system with constant and only leading coefficients these functions play the same role as the usual analytic functions do for the Laplace equation. Some applications to the mixed problem for the Lamé system of plane elasticity theory are given.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatic, Novgorod State University, B.St. Peterburgskaya 41, 173003, Novgorod, Russian Federation

    Alexandre P. Soldatov

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  1. Alexandre P. Soldatov
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Editor information

Editors and Affiliations

  1. Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, Delaware, USA

    Robert P. Gilbert

  3. Peking University, Beijing, China

    Guo-Chun Wen

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© 1999 Kluwer Academic Publishers

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Soldatov, A.P. (1999). To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane. In: Begehr, H.G.W., Gilbert, R.P., Wen, GC. (eds) Partial Differential and Integral Equations. International Society for Analysis, Applications and Computation, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3276-3_11

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  • DOI: https://doi.org/10.1007/978-1-4613-3276-3_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3278-7

  • Online ISBN: 978-1-4613-3276-3

  • eBook Packages: Springer Book Archive

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