Mellin representations of pseudo-differential operators on manifolds with corners

DOI10.1007/BF00127939zbMath0724.58063WikidataQ115395238 ScholiaQ115395238MaRDI QIDQ757945

Bert-Wolfgang Schulze

Publication date: 1990

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorsmanifolds with cornersMellin operators

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (11)

Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term ⋮ Pseudo-differential operators with operator-valued symbols in the Mellin- edge- approach ⋮ Asymptotic parametrices of elliptic edge operators ⋮ On the existence with exponential decay and the blow-up of solutions for coupled systems of semi-linear corner-degenerate parabolic equations with singular potentials ⋮ Norm closure and extension of the symbolic calculus for the cone algebra ⋮ Crack problems in the edge pseudo-differential calculus ⋮ Invariance of the cone algebra without asymptotics ⋮ Multiple solutions for semi-linear corner degenerate elliptic equations ⋮ Boundary value problems with global projection conditions. ⋮ Quantisation on a manifold with singular edge ⋮ Mellin and Green symbols for boundary value problems on manifolds with edges

Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Operatori pseudo-differenziali in R\(^n\) e applicazioni
• Un problema ai limiti ellittico in un dominio non limitato
• Boundary problems for pseudo-differential operators
• Pseudodifferential operators of mellin type
• Ellipticity and Continuous Conormal Asymptotics on Manifolds with Conical Singularities
• Probleme de dirichelt dans un cône avec parametre spectral pour une classe d'espaces de sobolev a poids
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