Boundary Value Problems and Singular Pseudo-Differential Operators

1. Auflage 1998
ISBN: 978-0-471-97557-1
Verlag: Wiley

Buch, Englisch, 350 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1141 g

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.

Autoren/Hrsg.

Schulze, Bert-Wolfgang

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

Pseudo-Differential Operators.

Mellin Pseudo-Differential Operators on Manifolds with Conical Singularities.

Pseudo-Differential Calculus on Manifolds with Edges.

Boundary Value Problems.

Bibliography.

Index.

Über Autor(innen)

Bert-Wolfgang Schulze is the author of Boundary Value Problems and Singular Pseudo-Differential Operators, published by Wiley.