Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501640 | Journal of Differential Equations | 2005 | 45 Pages |
Abstract
We study boundary-contact problems for elliptic equations (and systems) with interfaces that have conical singularities. Such problems represent continuous operators between weighted Sobolev spaces and subspaces with asymptotics. Ellipticity is formulated in terms of extra transmission conditions along the interfaces with a control of the conormal symbolic structure near conical singularities. We show regularity and asymptotics of solutions in weighted spaces, and we construct parametrices. The result will be illustrated by a number of explicit examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
David Kapanadze, B.-Wolfgang Schulze,