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Title

Edge asymptotics on a skew cylinder: complex variable form

Authors 1, 2

Affiliations

  1. CeReMaB, Université de Bordeaux 1, 351 cours de la Libération, F-33405 Talence Cedex, France
  2. Département de Mathématiques, Université de Nantes, 2, rue de la Houssinière, F-44072 Nantes Cedex 03, France

Bibliography

  1. M. Costabel and M. Dauge, Edge asymptotics on a skew cylinder, in: International Workshop 'Analysis in Domains and on Manifolds with Singularities', Breitenbrunn 1990, Teubner, Leipzig 1991, to appear.
  2. M. Costabel and M. Dauge, General edge asymptotics of solutions of second order elliptic boundary value problems II, Publications de Laboratoire d'Analyse Numérique R91017, Université de Paris VI, 1991.
  3. M. Dauge, Elliptic Boundary Value Problems in Corner Domains-Smoothness and Asymptotics of Solutions, Lecture Notes in Math. 1341, Springer, Berlin 1988.
  4. P. Grisvard, Boundary Value Problems in Non-Smooth Domains, Pitman, London 1985.
  5. 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.
  6. 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.
  7. R. S. Lehman, Developments at an analytic corner of solutions of elliptic partial differential equations, J. Math. Mech. 8 (1959), 727-760.
  8. V. G. Maz'ya and B. A. Plamenevskiĭ, Lp estimates of solutions of elliptic boundary value problems in a domain with edges, Trans. Moscow Math. Soc. 1 (1980), 49-97.
  9. V. G. Maz'ya and B. A. Plamenevskiĭ, Estimates in Lp 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.
  10. V. G. Maz'ya und J. Rossmann, Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten, Math. Nachr. 138 (1988), 27-53.
  11. V. G. Maz'ya und J. Rossmann, On a problem of Babuška (Stable asymptotics of the solution of the Dirichlet problem for elliptic equations of second order in domains with angular points), preprint LiTH-MAT-R-90-33, Linköping University, 1991.
  12. V. 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.
  13. S. Rempel and B. W. Schulze, Asymptotics for Elliptic Mixed Boundary Problems, Akademie-Verlag, Berlin 1989.
  14. B. Schmutzler, The structure of branching asymptotics for elliptic boundary value problems in domains with edges, in: International Workshop 'Analysis in Domains and on Manifolds with Singularities', Breitenbrunn 1990, Teubner, Leipzig 1991, to appear.
Banach Center Publications
1992/27/1
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Pages:
81-90
Main language of publication
English
Published
1992
Exact and natural sciences