Miniconferences on Analysis and Applications
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Status: Out of stock
Price: AUD $33.00
Volume: 33
Venue: The University of Queensland (Brisbane)

Preface

This volume represents the proceedings of the miniconference on "Analysis and Applications" held at The University of Queensland from the 20th to the 23rd of September 1993. The conference was sponsored by The Unit for Mathematical Analysis of The University of Queensland, the Centre for Mathematics and its Applications at Australian National University and The Australian Mathematical Society. Bevan Thompson and Neil Trudinger formed the Programme Committee while Bevan and Tim Cranny handled most of the organisational details.

The scope of the conference was very broad including Linear and Nonlinear Functional Analysis, Applications of Ordinary and Partial Differential Equations to questions in Analysis and Geometry, Harmonic Analysis, Numerical Analysis and Nonlinear Analysis in general. Indeed the scope was so great that it is impossible to summarize here other than to point out the pervading theme of nonlinear analysis and its applications, particularly in geometry.

Contributions for the proceedings were sought at the conference. Many, but not all, of the papers received were refereed. Most of the contributions are expository in nature, either surveying the author's recent work or aspects of a particular field in which the author works. One can see from the contributions the enormous range and depth of analysis currently being studied in Australasia.

The conference was a great success, blessed by good organisation, great weather and the invigorating presence of several overseas colleagues.

Gaven Martin and Bevan Thompson
(Editors)

Content

Chapter Page
1 Two Notes on Supercritical Problems on Long Domains
E.N. Dancer		 39
2 Nonlinear Oblique Boundary Value Problems for Two Dimensional Hessian and Curvature Equations
John Urbas		 225
3 Shadowing and Approximation in Dynamical Systems
P. Diamond, P. Kloeden and A. Pokrovskii		 47
4 Integrable Systems and the Geometry of Differential Operators
P.J. Vassiliou		 239
5 Multivalued Spatial Discretization of Dynamical Systems
P. Diamond, P. Kloeden and A. Pokrovskii		 61
6 Existence of a Potential by Kurzweil-Henstock Integration
R. Výborný		 251
7 Invariant Theory in Differential Geometry
Michael Eastwood		 71
8 Multiwell Problems and Restrictions on Microstructure
Kewei Zhang		 259
9 On Mean Curvature Flow of Surfaces in Riemannian 3-Manifolds
Klaus Ecker		 79
10 Hopf Bifurcation of a Class of PDE's
Xiangjian He and Zhuhan Jiang		 89
11 Degenerate Holomorphic Mappings of Nondegenerate CR-Manifolds
A.V. Isaev		 99
12 Travelling Wave Solutions for a Drying Problem
Miloš Ilic		 107
13 107 The Maximum Principle for Degenerate Parabolic PDE's with Singularities
Hitoshi Ishii		 113
14 Compensated Compactness, Commutators and Hardy Spaces
Chun Li		 121
15 Representations of Functions in Sobolev Spaces in Terms of Finite Differences
Wai-Lok Lo		 133
16 Measurable Conformal Mappings in Space
Gaven J. Martin		 145
17 Formation of Singularities in Solutions of the Nonlinear Schrödinger Equation with Critical Power Nonlinearity
Hayato Nawa		 167
18 Evolving Convex Hypersurfaces
Ben Andrews		 1
19 Transference from Lipschitz Graphs to Periodic Lipschitz Graphs
Tao Qian		 189
20 Rotating Drops Trapped between Parallel Planes
Maria Athanassenas		 25
21 Monotone Convergent Methods for a Variational Inequality
David E. Stewart and Steven J. Wright		 195
22 Indefinite Integrals of Fuctions From Lp(R)
Bolis Basit and Alan J. Pryde		 29
23 Degenerate Monge-Ampère Equations in Algebraic Geometry
Hajime Tsuji		 209

Copyright statement

First published in Australia 1994

© Centre for Mathematics and its Applications
Mathematical Sciences Institute
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

Gaven Martin and Bevan Thompson

Miniconference on Analysis and Applications (Brisbane, 1993)

ISBN 0 7315 2130 7