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Edge Asymptotics on a Skew Cylinder

  • Conference paper
Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990

Part of the book series: Teubner-Texte zur Mathematik ((TTZM,volume 131))

Abstract

This problem was posed as a question to the first author by I. Babuška (Maryland).

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References

  1. M. Dauge. Elliptic Boundary Value Problems in Corner Domains — Smoothness and Asymptotics of Solutions. Lecture Notes in Mathematics, Vol. 1341. Springer-Verlag, Berlin 1988.

    Google Scholar 

  2. P. Grisvard. Boundary Value Problems in Non-Smooth Domains. Pitman, London 1985.

    Google Scholar 

  3. T. Kato. Perturbation Theory for Linear Operators. Springer-Verlag, Berlin — Heidelberg — New York 1976.

    Book  MATH  Google Scholar 

  4. V. A. Kondrat’ev. Boundary-value problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. 16 (1967) 227–313.

    Google Scholar 

  5. V. A. Kondrat’ev. Singularities of a solution of Dirichlet’s problem for a second order elliptic equation in a neighborhood of an edge. Differential Equations 13 (1970) 1411–1415.

    Google Scholar 

  6. V. G. Maz’ya, B. A. Plamenevskii. L p estimates of solutions of elliptic boundary value problems in a domain with edges. Trans. Moscow Math. Soc. 1 (1980) 49–97.

    MATH  Google Scholar 

  7. V. G. Maz’Ya, B. A. Plamenevskii. On boundary value problems for a second order elliptic equation in a domain with edges. Vestnik Leningrad Univ. Mathematics 8 (1980) 99–106.

    MATH  Google Scholar 

  8. V. G. Maz’Ya, B. A. Plamenevskii. Estimates in L p and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary. Amer. Math. Soc. Transl. (2) 123 (1984) 1–56.

    Google Scholar 

  9. V. G. Maz’Ya, J. Rossmann. Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten. Math. Nachr. 138 (1988) 27–53.

    Article  MathSciNet  Google Scholar 

  10. A. Nikishkin. Singularities of the solution of the Dirichlet problem for a second order equation in a neighborhood of an edge. Moscow Univ. Math. Bull 34(2) (1979) 53–64.

    MathSciNet  MATH  Google Scholar 

  11. S. Rempel, B. W. Schulze. Asymptotics for Elliptic Mixed Boundary Problems. Akademie-Verlag, Berlin 1989.

    MATH  Google Scholar 

  12. R. Schmutzler. About the structure of branching asymptotics for elliptic boundary value problems in domains with edges. Lecture given at the International Workshop “Analysis in Domains and on Manifolds with Singularities”, Breitenbrunn, GDR. 1990.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 293, D-6900, Heidelberg, Germany

    Martin Costabel

  2. Département de Mathématiques, Université de Nantes, 2 rue de la Houssinière, F-44072, Nantes Cedex 03, France

    Monique Dauge

Authors
  1. Martin Costabel
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  2. Monique Dauge
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Editor information

Editors and Affiliations

  1. Jena, Germany

    Hans Triebel

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© 1992 Springer Fachmedien Wiesbaden

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Costabel, M., Dauge, M. (1992). Edge Asymptotics on a Skew Cylinder. In: Schulze, BW., Triebel, H. (eds) Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990. Teubner-Texte zur Mathematik, vol 131. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11577-9_3

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  • DOI: https://doi.org/10.1007/978-3-663-11577-9_3

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-11578-6

  • Online ISBN: 978-3-663-11577-9

  • eBook Packages: Springer Book Archive

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