Elliptic Boundary Problems for Dirac Operators

By: Bernhelm BooÃ?-Bavnbek, Krzysztof P. Wojciechhowski

Write A Review

Hardcover | 1 December 1993

At a Glance

Hardcover
328 Pages

Dimensions(cm)
24.77 x 16.51 x 1.91

Hardcover

$249.00

or 4 interest-free payments of $62.25 with

or

Ships in 5 to 7 business days

Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Differential Calculus & Equations

Free Boundary Problems and Regularity Theory - Harvey Drouelle

$73.99

10%
OFF

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

Paperback

RRP $169.00

$162.75

Recent Progress in Special Functions : Contemporary Mathematics - Galina Filipuk

$315.99

14%
OFF

Mathematical Modelling Techniques

Paperback

RRP $147.00

$132.75

10%
OFF

Differential Modules over Differential Rings : Chapman & Hall/CRC Monographs and Research Notes in Mathematics - Andy R. Magid

$LEC NOTE MATH OLYM : SNR SEC (V1) - XU JIAGU$

LEC NOTE MATH OLYM

SNR SEC (V1)

Paperback

RRP $77.99

$70.75

Lecture Notes On Mathematical Olympiad Courses

For Senior Section - Volume 2

Paperback

RRP $84.99

$76.75

10%
OFF

A Course on Function Spaces I : Continuous and Integrable Functions - Dominic, Dr. Breit

$219.75

The Calderon Problem

An Introduction

Hardcover

RRP $312.00

$290.99

Free Boundary Problems Via Da Prato-Grisvard Theory

Paperback

RRP $197.00

$187.75

The Calderon Problem

An Introduction

Paperback

RRP $206.00

$195.75

Preface
List of Notations
Clifford Algebras and Dirac Operators
Clifford Algebras and Clifford Modules	p. 3
Clifford Bundles and Compatible Connections	p. 10
Dirac Operators	p. 19
Dirac Laplacian and Connection Laplacian	p. 26
Euclidean Examples	p. 29
The Classical Dirac (Atiyah-Singer) Operators on Spin Manifolds	p. 36
Dirac Operators and Chirality	p. 40
Unique Continuation Property for Dirac Operators	p. 43
Invertible Doubles	p. 50
Glueing Constructions. Relative Index Theorem	p. 59
Analytical and Topological Tools
Sobolev Spaces on Manifolds with Boundary	p. 67
Caldron Projector for Dirac Operators	p. 75
Existence of Traces of Null Space Elements	p. 95
Spectral Projections of Dirac Operators	p. 105
Pseudo-Differential Grassmannians	p. 111
The Homotopy Groups of the Space of Self-Adjoint Fredholm Operators	p. 127
The Spectral Flow of Families of Self-Adjoint Operators	p. 138
Applications
Elliptic Boundary Problems and Pseudo-Differential Projections	p. 163
Regularity of Solutions of Elliptic Boundary Problems	p. 180
Fredholm Property of the Operator A[subscript R]	p. 188
Exchanges on the Boundary: Agranovic-Dynin Type Formulas and the Cobordism Theorem for Dirac Operators	p. 205
The Index Theorem for Atiyah-Patodi-Singer Problems	p. 211
Some Remarks on the Index of Generalized Atiyah-Patodi-Singer Problems	p. 253
Bojarski's Theorem. General Linear Conjugation Problems	p. 262
Cutting and Pasting of Elliptic Operators	p. 276
Dirac Operators on the Two-Sphere	p. 282
Bibliography	p. 289
Index	p. 303
Table of Contents provided by Blackwell. All Rights Reserved.

Elliptic Boundary Problems for Dirac Operators

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Differential Calculus & Equations

Free Boundary Problems and Regularity Theory

Differential Equations

An Elementary Approach

The Secret Life of Equations

The 50 Greatest Equations and How They Work

Functional Analysis

Entering Hilbert Space

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

Recent Progress in Special Functions

Contemporary Mathematics

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

Mathematical Modelling Techniques

Mathematical Modelling Techniques

Differential Modules over Differential Rings

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Nonlinear Fractional Differential Equations of Variable Order

LEC NOTE MATH OLYM

SNR SEC (V1)

Lecture Notes On Mathematical Olympiad Courses

For Senior Section - Volume 2

A Course on Function Spaces I

Continuous and Integrable Functions

Implicit-Explicit Methods for Evolutionary Partial Differential Equations

Modelling, Analysis, Monitoring, and Control of Distributed Parameter Systems:

The Tubular Reactor Case Study

Electromagnetics Through the Finite Element Method

From Maxwell's Equations to Code

The Calderon Problem

An Introduction

Free Boundary Problems Via Da Prato-Grisvard Theory

The Calderon Problem

An Introduction

Multivariable Calculus Set Free

Infinitesimals Ride Again

Differential and Difference Equations with Applications in Queueing Theory

Introduction to Differential Equations

This product is categorised by