Miniconferences on Analysis and Applications

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)

Contents

Chapter Page no
1 - Evolving Convex Hypersurfaces (PDF, 2048KB)
Ben Andrews
1
2 - Rotating Drops Trapped between Parallel Planes (PDF, 507KB)
Maria Athanassenas
25
3 - Indefinite Integrals of Fuctions From Lp(R) (PDF, 872KB)
Bolis Basit and Alan J. Pryde
29
4 - Two Notes on Supercritical Problems on Long Domains (PDF, 917KB)
E.N. Dancer
39
5 - Shadowing and Approximation in Dynamical Systems (PDF, 929KB)
P. Diamond, P. Kloeden and A. Pokrovskii
47
6 - Multivalued Spatial Discretization of Dynamical Systems (PDF, 1229KB)
P. Diamond, P. Kloeden and A. Pokrovskii
61
7 - Invariant Theory in Differential Geometry (PDF, 639KB)
Michael Eastwood
71
8 - On Mean Curvature Flow of Surfaces in Riemannian 3-Manifolds (PDF, 916KB)
Klaus Ecker
79
9 - Hopf Bifurcation of a Class of PDE's (PDF, 947KB)
Xiangjian He and Zhuhan Jiang
89
10 - Degenerate Holomorphic Mappings of Nondegenerate CR-Manifolds (PDF, 765KB)
A.V. Isaev
99
11 - Travelling Wave Solutions for a Drying Problem (PDF, 467KB)
Miloš Ilic
107
12 - 107 The Maximum Principle for Degenerate Parabolic PDE's with Singularities (PDF, 630KB)
Hitoshi Ishii
113
13 - Compensated Compactness, Commutators and Hardy Spaces (PDF, 859KB)
Chun Li
121
14 - Representations of Functions in Sobolev Spaces in Terms of Finite Differences (PDF, 860KB)
Wai-Lok Lo
133
15 - Measurable Conformal Mappings in Space (PDF, 2150KB)
Gaven J. Martin
145
16 - Formation of Singularities in Solutions of the Nonlinear Schrödinger Equation with Critical Power Nonlinearity (PDF, 1638KB)
Hayato Nawa
167
17 - Transference from Lipschitz Graphs to Periodic Lipschitz Graphs (PDF, 711KB)
Tao Qian
189
18 - Monotone Convergent Methods for a Variational Inequality (PDF, 1638KB)
David E. Stewart and Steven J. Wright
195
19 - Degenerate Monge-Ampère Equations in Algebraic Geometry (PDF, 1024KB)
Hajime Tsuji
209
20 - Nonlinear Oblique Boundary Value Problems for Two Dimensional Hessian and Curvature Equations (PDF, 1229KB)
John Urbas
225
21 - Integrable Systems and the Geometry of Differential Operators (PDF, 1741KB)
P.J. Vassiliou
239
22 - Existence of a Potential by Kurzweil-Henstock Integration (PDF, 636KB)
R. Výborný
251
23 - Multiwell Problems and Restrictions on Microstructure (PDF, 1024KB)
Kewei Zhang
259

Printed copy

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Volume

Volume 33

Date

20 Sep 1993 to 23 Sep 1993

Venue

The University of Queensland (Brisbane)

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