Mellin and Green symbols for boundary value problems on manifolds with edges

DOI10.1007/BF01300583zbMath0936.35211OpenAlexW1975984611MaRDI QIDQ1301585

Elmar Schrohe, Bert-Wolfgang Schulze

Publication date: 12 September 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01300583

zbMATH Keywords

Sobolev spacemanifold with edgeselliptic pseudodifferential operatoredge symbolGreen symbolMellin symbol

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Boundary value problems on manifolds (58J32) Topological algebras of operators (46H35)

Related Items (4)

Boundary problems on a manifold with edge ⋮ Maximal \(L^{p}\)-regularity for the Laplacian on Lipschitz domains ⋮ Bounded \(H_\infty\)-calculus for boundary value problems on manifolds with conical singularities ⋮ Symbolic calculus for boundary value problems on manifolds with edges

Cites Work

• Mellin representations of pseudo-differential operators on manifolds with corners
• Pseudo-differential operators with operator-valued symbols in the Mellin- edge- approach
• Boundary problems for pseudo-differential operators
• Anisotropic Edge Pseudo — Differential Operators with Discrete Asymptotics
• Pseudodifferential operators of mellin type
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