Description

Book Synopsis
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. It features a self-contained presentation of the cone pseudo-differential calculus; a general method for pseudo-differential analysis on manifolds with edges for arbitrary model cones in spaces with discrete and continuous asymptotics; the presentation of the algebra of boundary value problems with the transmission property, obtained as a modification of the general wedge theory; and a new exposition of the pseudo-differential calculus with operator-valued symbols, based on twisted homogeneity as well as on parameter-dependent theories and reductions of orders.

Table of Contents
Pseudo-Differential Operators.

Mellin Pseudo-Differential Operators on Manifolds with Conical Singularities.

Pseudo-Differential Calculus on Manifolds with Edges.

Boundary Value Problems.

Bibliography.

Index.

Boundary Value Problems and Singular

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    A Hardback by Bert-Wolfgang Schulze

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      Book details

      Publisher Wiley
      Published 1/26/1998 12:00:00 AM
      ISBN-13 9780471975571
      978-0471975571
      ISBN-10 0471975575
      Also in:
      Mathematics Applied mathematics

      Description

      Book Synopsis
      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. It features a self-contained presentation of the cone pseudo-differential calculus; a general method for pseudo-differential analysis on manifolds with edges for arbitrary model cones in spaces with discrete and continuous asymptotics; the presentation of the algebra of boundary value problems with the transmission property, obtained as a modification of the general wedge theory; and a new exposition of the pseudo-differential calculus with operator-valued symbols, based on twisted homogeneity as well as on parameter-dependent theories and reductions of orders.

      Table of Contents
      Pseudo-Differential Operators.

      Mellin Pseudo-Differential Operators on Manifolds with Conical Singularities.

      Pseudo-Differential Calculus on Manifolds with Edges.

      Boundary Value Problems.

      Bibliography.

      Index.

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