A calculus of boundary value problems in domains with Non-Lipschitz Singular Points

The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fred...

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Bibliographic Details
Main Authors: Rabinovich, Vladimir, Schulze, Bert-Wolfgang, Tarkhanov, Nikolai
Format: Others
Language:English
Published: Universität Potsdam 1997
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-24957
http://opus.kobv.de/ubp/volltexte/2008/2495/
Description
Summary:The paper is devoted to pseudodifferential boundary value problems in domains with singular points on the boundary. The tangent cone at a singular point is allowed to degenerate. In particular, the boundary may rotate and oscillate in a neighbourhood of such a point. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to singular points.