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Layer potential methods for boundary value problems on lipschitz domains

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Potential Theory Surveys and Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1344))

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References

  1. A.P. Calderon, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sci. U.S.A., 74 (1977), 1324–1327.

    Article  MathSciNet  MATH  Google Scholar 

  2. R.R. Coifman, A. McIntosh, Y. Meyer, L’intégrale de Cauchy définit un opérateur borné sur L2 pour lescourbes Lipschitziennes, Annals of Math. 116 (1982), 361–387.

    Article  MathSciNet  MATH  Google Scholar 

  3. B.E.J. Dahlberg, Weighted norm inequalities for the Lusin area integral and nontangential maximal functions for functions harmonic in a Lipschitz domain, Studia Math. 67 (1980), 297–314.

    MathSciNet  MATH  Google Scholar 

  4. B.E.J. Dahlberg, C.E. Kenig, Hardy spaces and the LP Neumann problem for Laplace’s equation in a Lipschitz domain, Annals of Math., 125 (1987), 437–465.

    Article  MathSciNet  MATH  Google Scholar 

  5. B.E.J. Dahlberg, C.E. Kenig, G.C. Verchota, Boundary value problems for the systems of elastostatics on a Lipschitz domain, Preprint available.

    Google Scholar 

  6. E.B. Fabes, M. Jodeit, Jr., and M.M. Riviere, Potential techniques for boundary value problems on C1 domains, Acta Math. 141 (1978), 165–186.

    Article  MathSciNet  MATH  Google Scholar 

  7. O.D. Kellogg, Foundations of Potential Theory, New York, Dover, 1954.

    Google Scholar 

  8. V.D. Kupradze. Thru Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North Holland, New York, 1979.

    Google Scholar 

  9. J. Nečas, Les Méthodes Directes en Théorie des Equations Elliptiques, Academia, Prague, 1967.

    Google Scholar 

  10. F. Rellich, Darstellung der Eigenwerte von Au+λu durch ein Randintegral, Math. Z. 46 (1940), 635–646.

    Article  MathSciNet  MATH  Google Scholar 

  11. G.C. Verchota, Layer potentials and regularity for the Dirichlet problem for Laplace’s equation in Lipschitz domains, Journal of Functional Analysis, 59 (1984), 572–611.

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. Eugene Fabes
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Josef Král Jaroslav Lukeš Ivan Netuka Jiří Veselý

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© 1988 Springer-Verlag

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Fabes, E. (1988). Layer potential methods for boundary value problems on lipschitz domains. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory Surveys and Problems. Lecture Notes in Mathematics, vol 1344. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103344

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  • DOI: https://doi.org/10.1007/BFb0103344

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50210-4

  • Online ISBN: 978-3-540-45952-1

  • eBook Packages: Springer Book Archive

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