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International Conference on Numerical Analysis and Its Applications

NAA 2008: Numerical Analysis and Its Applications pp 1–12Cite as

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

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,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.

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References

  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)

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  2. Borsuk, M., Kondratiev, V.: Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains. North-Holland Mathematical Library 69, 531 (2006)

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Warmia and Mazury in Olsztyn, 10-957, Olsztyn-Kortowo, Poland

    Mikhail V. Borsuk

Authors
  1. Mikhail V. Borsuk
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Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Borsuk, M.V. (2009). The Transmission Problem for Elliptic Second Order Equations in a Domain with Conical Boundary Points. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_1

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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