Geodesic
Asymptotics of potentials in the edge calculus
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 145-182
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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 submanifolds which also have conical or edge singularities. As a byproduct we show the continuity of such potentials as continuous operators between cone or edge Sobolev spaces and subspaces with asymptotics. 
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     author = {Kapanadze, D. and Schulze, B.-W},
     title = {Asymptotics of potentials in the edge calculus},
     journal = {Bollettino della Unione matematica italiana},
     pages = {145--182},
     year = {2006},
     volume = {Ser. 8, 9B},
     number = {1},
     zbl = {1118.58014},
     mrnumber = {2204905},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a7/}
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Kapanadze, D.; Schulze, B.-W. Asymptotics of potentials in the edge calculus. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 145-182. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a7/