an:01023296
Zbl 0874.35141
Schulze, B.-W.
Boundary value problems and edge pseudo-differential operators
EN
Rodino, Luigi (ed.), Microlocal analysis and spectral theory. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September--3 October 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 490, 165-226 (1997).
1997
a
35S15 58J40 47G30
pseudo-differential boundary value problems on manifolds; operator-valued symbols; pseudo-differential algebra; pseudo-differential calculus on manifolds with edges
The author shows how pseudo-differential boundary value problems on manifolds fit into a more general class of pseudo-differential operators on manifolds with edges, with specific operator-valued symbols in a pseudo-differential algebra. The elements of this exposition (edge Sobolev spaces and operator-valued symbols, parameter-dependent pseudo-differential operators and cone theory, pseudo-differential calculus on manifolds with edges) are chosen to be an ingredient of a future pseudo-differential calculus on manifolds with higher edge and corner singularities, which requires parameter-dependent variants of this operator algebra.
For the entire collection see [Zbl 0864.00062].
V.Iftimie (Bucure??ti)