Advertisement

The Transmission Problem for Elliptic Second Order Equations in a Domain with Conical Boundary Points

  • Mikhail V. Borsuk
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

We investigate the behavior of weak solutions to the transmission problem for linear and weak quasi-linear elliptic divergence second order equations in a neighborhood of the boundary conical point. We obtain best possible estimates of the weak solutions to the transmission problem near conical boundary point.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Borsuk, M.V.: A priori estimates and solvability of second order quasilinear elliptic equations in a composite domain with nonlinear boundary conditions and conjunction condition. Proc. Steklov Inst. of Math. 103, 13–51 (1970)Google Scholar
  2. 2.
    Borsuk, M., Kondratiev, V.: Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains. North-Holland Mathematical Library 69, 531 (2006)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Mikhail V. Borsuk
    • 1
  1. 1.Department of Mathematics and InformaticsUniversity of Warmia and Mazury in OlsztynOlsztyn-KortowoPoland

Personalised recommendations