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Perturbation of domains in elliptic boundary value problems

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Applications of Methods of Functional Analysis to Problems in Mechanics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 503))

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References

  1. Aubin, J.P.: Approximation des espaces de distribution et des opérateurs différentiels. Bull. Soc. Math. France Mém. 12, 1–139 (1967).

    MathSciNet  MATH  Google Scholar 

  2. Babuŝka, I.: Stabilität des Definitionsgebietes mit Rücksicht auf grundlegende Probleme der Theorie der partiellen Differentialgleichungen auch im Zusammenhang mit der Elastizitätstheorie. Czechoslovak Math. J. 11, 76–105, 165–203 (1961).

    Article  MathSciNet  Google Scholar 

  3. -: The theory of small changes in the domain of existence in the theory of partial differential equations and its applications. Proc. Conference Diff. Equations, Prague 1962, 13–26. Prague: Czechoslovak Academy of Sciences 1963.

    MATH  Google Scholar 

  4. Babuška, I., and Výborný, R.: Continuous dependence of eigenvalues on the domain. Czechoslovak Math. J. 15, 169–178 (1965).

    MathSciNet  MATH  Google Scholar 

  5. Blair, J. J.: Bounds for the change in the solutions of second order elliptic PDE’s when the boundary is perturbed. SIAM J. Appl. Math. 24, 277–285 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  6. Grigorieff, R. D.: Diskret kompakte Einbettungen in Sobolewschen Räumen. Math. Ann. 197, 71–85 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  7. Hausdorff, F.: Grundzüge der Mengenlehre. New York: Chelsea 1965.

    MATH  Google Scholar 

  8. Nečas, J.: Les méthodes directes en théorie des équations elliptiques. Paris: Masson 1967.

    Google Scholar 

  9. Stummel, F.: Diskrete Konvergenz linearer Operatoren. I. Math. Ann. 190, 45–92 (1970). II. Math. Z. 120, 231–264 (1971). III. Proc. Oberwolfach Conference on Linear Operators and Approximation 1971. Int. Series of Numerical Mathematics 20, 196–216. Basel: Birkhäuser 1972.

    Article  MathSciNet  MATH  Google Scholar 

  10. Stummel, F.: Singular perturbations of elliptic sesquilinear forms. Proc. Conference on Differential Equations, Dundee, March. 1972. Lecture Notes in Mathematics 280, 155–180. Berlin-Heidelberg-New York: Springer 1972.

    MATH  Google Scholar 

  11. -: Perturbation theory for Sobolev spaces. Proc. Royal Soc. Edinburg 73A, 5–49 (1974/75).

    Article  MathSciNet  MATH  Google Scholar 

  12. Stummel, F.: Perturbation theory for elliptic sesquilinear forms and boundary value problems in mathematical physics. Lecture Notes, March 1975. Institute for Fluid Dynamics and Applied Mathematics, College Park, University of Maryland. To appear.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Johann Wolfgang Goethe-Universität, Robert-Mayer-Strasse lo, D-6000, Frankfurt am Main, West Germany

    Prof. Dr. Friedrich Stummel

Authors
  1. Prof. Dr. Friedrich Stummel
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Paul Germain Bernard Nayroles

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© 1976 Springer-Verlag

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Stummel, F. (1976). Perturbation of domains in elliptic boundary value problems. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088748

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  • DOI: https://doi.org/10.1007/BFb0088748

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive

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