Miniconference on Operator Theory and Partial Differential Equations

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.

Contents

Chapter Page number
1 - Part I, Expository Lectures: Dilations preserving a bound on the norm of an operator (pdf 920.34 KB)
Chandler Davis 		3
2 - Box maximal functions (pdf 471.31 KB)
Alberto Torchinsky 		39
3 - Part II, Research Reports: The existence of maximal surfaces (pdf 326.36 KB)
R. Bartnik 		47
4 - The group of invertible elements of certain Banach algebras of operators on Hilbert space (pdf 452.8 KB)
A.L. Carey 		52
5 - The Dirichlet problem for a linear elliptic equation in a half space with L2-boundary data (pdf 296.35 KB)
J. Chabrowski 		61
6 - Boolean algebras of projections in locally convex spaces (pdf 867.93 KB)
Peter G. Dodds 		67
7 - Computing Fourier and Laplace transforms by means of power series evaluation (pdf 420.13 KB)
Sven-Å Gustafson 		77
8 - C1,1-regularity of solutions to variational inequalities (pdf 280.81 KB)
Gerhard Huisken 		85
9 - Weakly integrable semigroups (pdf 407.33 KB)
Brian Jefferies 		91
10 - The inheritance of concavity by solutions of boundary value problems (pdf 298.93 KB)
A.U. Kennington 		98
11 - Some problems of spectral theory (pdf 462.41 KB)
Igor Kluvánek 		103
12 - Interpolation in Orlicz and Sobolev-Orlicz spaces (pdf 849.4 KB)
Miroslav Krbec 		109
13 - Square roots of operators and applications to hyperbolic P.D.E.'s (pdf 624.39 KB)
Alan McIntosh 		124
14 - Riesz capacity and the approximation of Sobolev functions by smooth functions (pdf 160.45 KB)
J.H. Michael 		137
15 - A linearized elliptic free boundary value problem (pdf 275.48 KB)
A.J. Pryde 		140
16 - Some problems of spectral theory (pdf 581.71 KB)
Werner Ricker 		145
17 - The iterated Galerkin method for integral equations of the second kind (pdf 566.76 KB)
I.H. Sloan 		153
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Volume

5

Date

21–22 July 1983

Venue

Australian National University

Copyright

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