# Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics (Mathematical Topics) download epub

#### by **Bert-Wolfgang Schulze**

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Start by marking Pseudo-Differential Boundary Value Problems, Conical Singularities, and . In the monograph, the theory of pseudo-differential boundary value problems under the aspect of a calculus for conical singularities is studied

Start by marking Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics as Want to Read: Want to Read savin. ant to Read. In the monograph, the theory of pseudo-differential boundary value problems under the aspect of a calculus for conical singularities is studied. Here the inner normal to the boundary is regarded as the model cone of a wedge with the boundary as edge. The transmission property in Boutet de Monvel's sense as well as the theory of Visik and Eskin are particular cases.

PDF In the thesis there are constructed new quantizations for pseudo-differential boundary value .

PDF In the thesis there are constructed new quantizations for pseudo-differential boundary value problems (BVPs) on manifolds with edge. The shape of operators comes from Boutet de Monvel’s calculus which exists on smooth manifolds with boundary.

This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories.

Bert-Wolfgang Schulze. In this monograph the theory of pseudo-differential boundary value problems under the aspect of a calculus for conical singularities is studied. Here the inner normal to the boundary is regarded as the model cone of a wedge with the bondary as edge. The results of Visik and Eskin are considerably extended. The operators belong to an algebra that contains the parametrices of the elliptic elements.

Contents: Preface Pseudo-differential operators Mellin pseudo-differential operators on manifolds with conical singularities Pseudo-differential calculus on manifolds with edges . Bert-Wolfgang Schulze.

Contents: Preface Pseudo-differential operators Mellin pseudo-differential operators on manifolds with conical singularities Pseudo-differential calculus on manifolds with edges Boundary value problems Bibliography Index.

Bert–Wolfgang Schulze. ISBN: 9780471975571; Boundary Value Problems and Singular Pseudo–differential Operators covers the analysis of pseudo–differential operators on manifolds with conical points and edges. The standard singular integral operators on the half–axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories

Pseudo-differential calculus on singular spaces conical singularities Mellin symbols l .

Pseudo-differential calculus on singular spaces conical singularities Mellin symbols l components. Schulze, Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities I, In Advances in Partial Differential Equations: (Pseudo-Differential Calculus and Mathematical Physics), 97 – 209, Akademie Verlag, Berlin, 1994. Schulze, Mellin representations of pseudo-differential operators on manifolds with corners, Ann. Global Analysis Geom.

Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics. We complete the work of Part I and present a pseudodifferential calculus for boundary value problems on a manifold D with finitely many conical singularities

Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics. Mellin pseudo-differential operators discrete and continuous asymptotics the cone algebra boundary symbolic calculus Mellin operator conventions an analogue of Boutet de Monvel's algebra in the cas. More). The Edge Algebra Structure of Boundary Value Problems. B. Schulze, Joerg Seiler. We complete the work of Part I and present a pseudodifferential calculus for boundary value problems on a manifold D with finitely many conical singularities. Outside the singular set, D is a smoot. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories

This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges.

We study boundary-contact problems for elliptic equations (and systems) with interfaces that have conical singularities. Such problems represent continuous operators between weighted Sobolev spaces and subspaces with asymptotics. Ellipticity is formulated in terms of extra transmission conditions along the interfaces with a control of the conormal symbolic structure near conical singularities. We show regularity and asymptotics of solutions in weighted spaces, and we construct parametrices. The result will be illustrated by a number of explicit examples

**Author:**Bert-Wolfgang Schulze

**ISBN:**3055015975

**Category:**Science & Math

**Subcategory:**Mathematics

**Language:**English

**Publisher:**John Wiley & Son Ltd; 1st edition (November 1, 1994)

**Pages:**581 pages