Edge Asymptotics on a Skew Cylinder

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

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

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

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

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

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.MATHGoogle Scholar

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.MATHGoogle Scholar

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

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

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.MathSciNetMATHGoogle Scholar

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

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