TY  - INPR
A1  - Kapanadze, David
A1  - Schulze, Bert-Wolfgang
T1  - Asymptotics of potentials in the edge calculus
N2  - Boundary value problems on manifolds with conical singularities or edges contain potential operators as well as trace and Green operators which play a similar role as the corresponding operators in (pseudo-differential) boundary value problems on a smooth manifold. There is then a specific asymptotic behaviour of these operators close to the singularities. We characterise potential operators in terms of actions of cone or edge pseudo-differential operators (in the neighbouring space) on densities supported by sbmanifolds which also have conical or edge singularities. As a byproduct we show the continuity of such potentials as continuous perators between cone or edge Sobolev spaces and subspaces with asymptotics.
T3  - Preprint - (2003) 05 
KW  - Surface potentials with asymptotics
KW  - edge Sobolev spaces
KW  - operators on manifolds with conical and edge singularities
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2447
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26530
ER  -