BulDML at Institute of Mathematics and Informatics: Crack Theory with Singularities at the Boundary

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BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Pliska Studia Mathematica Bulgarica >
2003 Volume 15 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2296

Title:	Crack Theory with Singularities at the Boundary
Authors:	Schulze, B. W.
Keywords:	Pseudo-Differential Boundary Problems Mixed Elliptic Problems with Singular Interfaces Corner Operators Weighted Corner Sobolev Spaces
Issue Date:	2003
Publisher:	Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:	Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 21p-66p
Abstract:	We investigate crack problems, where the crack boundary has conical singularities. Elliptic operators with two-sided elliptic boundary conditions on the plus and minus sides of the crack will be interpreted as elements of a corner algebra of boundary value problems. The corresponding operators will be completed by extra edge conditions on the crack boundary to Fredholm operators in corner Sobolev spaces with double weights, and there are parametrices within the calculus.
Description:	2002 Mathematics Subject Classification: 35S15, 35J70, 35J40, 38J40
URI:	http://hdl.handle.net/10525/2296
ISSN:	0204-9805
Appears in Collections:	2003 Volume 15

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