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

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