Miniconference on Operator Theory and Partial Differential Equations

This volume contains the proceedings of a three day mini-conference on operator theory and partial differential equations held at Macquarie University in September 1986.

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Status: Out of stock
Volume: 5
Venue: Australian National University

Preface

This volume contains the proceedings of a miniconference on operator theory and partial differential equations held at the Australian National University in July, 1983, under the sponsorship of the Centre for Mathematical Analysis. It is divided into two parts. The first consists of reports of one hour expository lectures. The second is devoted to half our research reports presented at the conference.

We gratefully acknowledge the support of contributors to this volume, as well as the superb organizational assistance of our secretary, Marilyn Gray, and the excellent typing of Dorothy Nash.

Content

ChapterPage
1Part I, Expository Lectures: Dilations preserving a bound on the norm of an operator
Chandler Davis		3
2Box maximal functions
Alberto Torchinsky		39
3Part II, Research Reports: The existence of maximal surfaces
R. Bartnik		47
4The group of invertible elements of certain Banach algebras of operators on Hilbert space
A.L. Carey		52
5The Dirichlet problem for a linear elliptic equation in a half space with L2-boundary data
J. Chabrowski		61
6Boolean algebras of projections in locally convex spaces
Peter G. Dodds		67
7 Computing Fourier and Laplace transforms by means of power series evaluation
Sven-Å Gustafson 		77
8C1,1-regularity of solutions to variational inequalities
Gerhard Huisken		85
9Weakly integrable semigroups
Brian Jefferies 		91
10The inheritance of concavity by solutions of boundary value problems
A.U. Kennington 		98
11Some problems of spectral theory
Igor Kluvánek		103
12Interpolation in Orlicz and Sobolev-Orlicz spaces
Miroslav Krbec		109
13Square roots of operators and applications to hyperbolic P.D.E.'s
Alan McIntosh 		124
14Riesz capacity and the approximation of Sobolev functions by smooth functions
J.H. Michael 		137
15A linearized elliptic free boundary value problem
A.J. Pryde 		140
16Some problems of spectral theory
Werner Ricker		145
17The iterated Galerkin method for integral equations of the second kind
I.H. Sloan		153

Copyright statement

First published in Australia 1984

© Centre for Mathematical Analysis,
The Australian National University
CANBERRA ACT 0200
AUSTRALIA

This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

Edited by: Brian Jefferies, Alan McIntosh

Miniconference on Operator Theory and Partial Differential Equations
Canberra July 21-22, 1983
 

ISBN 0 86784 438 8