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 no
1 - Part I, Expository Lectures: Dilations preserving a bound on the norm of an operator (PDF, 920KB)
Chandler Davis
3
2 - Spectral properties of certain stiff problems in elasticity and acoustics, part II (PDF, 1434KB)
G. Geymonat and E. Sanchez-Palencia
15
3 - Box maximal functions (PDF, 471KB)
Alberto Torchinsky
39
4 - Part II, Research Reports: The existence of maximal surfaces (PDF, 326KB)
R. Bartnik
47
5 - The group of invertible elements of certain Banach algebras of operators on Hilbert space (PDF, 453KB)
A.L. Carey
52
6 - The Dirichlet problem for a linear elliptic equation in a half space with L2-boundary data (PDF, 296KB)
J. Chabrowski
61
7 - Boolean algebras of projections in locally convex spaces (PDF, 868KB)
Peter G. Dodds
67
8 - Computing Fourier and Laplace transforms by means of power series evaluation (PDF, 380KB)
Sven-Å Gustafson
77
9 - C1,1-regularity of solutions to variational inequalities (PDF, 281KB)
Gerhard Huisken
85
10 - Weakly integrable semigroups (PDF, 407KB)
Brian Jefferies
91
11 - The inheritance of concavity by solutions of boundary value problems (PDF, 299KB)
A.U. Kennington
98
12 - Some problems of spectral theory (PDF, 462KB)
Igor Kluvánek
103
13 - Interpolation in Orlicz and Sobolev-Orlicz spaces (PDF, 849KB)
Miroslav Krbec
109
14 - Square roots of operators and applications to hyperbolic P.D.E.'s (PDF, 624KB)
Alan McIntosh
124
15 - Riesz capacity and the approximation of Sobolev functions by smooth functions (PDF, 160KB)
J.H. Michael
137
16 - A linearized elliptic free boundary value problem (PDF, 275KB)
A.J. Pryde
140
17 - Some problems of spectral theory (PDF, 582KB)
Werner Ricker
145
18 - The iterated Galerkin method for integral equations of the second kind (PDF, 567KB)
I.H. Sloan
153

Printed copy

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Volume

Volume 5

Date

21 Jul 1983 to 22 Jul 1983

Venue

Australian National University

Updated:  29 April 2017/Responsible Officer:  Director/Page Contact:  School Manager