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Asymptotics of potentials in the edge calculus

D. KapanadzeB.-W Schulze — 2006

Bollettino dell'Unione Matematica Italiana

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...

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