Miniconferences on Analysis and Applications


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


Chapter Page number
1 - Evolving Convex Hypersurfaces (pdf 1.97 MB)
Ben Andrews
2 - Rotating Drops Trapped between Parallel Planes (pdf 506.86 KB)
Maria Athanassenas
3 - Indefinite Integrals of Fuctions From Lp(R) (pdf 872.24 KB)
Bolis Basit and Alan J. Pryde
4 - Two Notes on Supercritical Problems on Long Domains (pdf 916.74 KB)
E.N. Dancer
5 - Shadowing and Approximation in Dynamical Systems (pdf 929.37 KB)
P. Diamond, P. Kloeden and A. Pokrovskii
6 - Multivalued Spatial Discretization of Dynamical Systems (pdf 1.15 MB)
P. Diamond, P. Kloeden and A. Pokrovskii
7 - Invariant Theory in Differential Geometry (pdf 638.51 KB)
Michael Eastwood
8 - On Mean Curvature Flow of Surfaces in Riemannian 3-Manifolds (pdf 915.66 KB)
Klaus Ecker
9 - Hopf Bifurcation of a Class of PDE's (pdf 947.47 KB)
Xiangjian He and Zhuhan Jiang
10 - Degenerate Holomorphic Mappings of Nondegenerate CR-Manifolds (pdf 765.16 KB)
A.V. Isaev
11 - Travelling Wave Solutions for a Drying Problem (pdf 466.51 KB)
Miloš Ilic
12 - 107 The Maximum Principle for Degenerate Parabolic PDE's with Singularities (pdf 630.36 KB)
Hitoshi Ishii
13 - Compensated Compactness, Commutators and Hardy Spaces (pdf 859.37 KB)
Chun Li
14 - Representations of Functions in Sobolev Spaces in Terms of Finite Differences (pdf 2.31 MB)
Wai-Lok Lo
15 - Measurable Conformal Mappings in Space (pdf 2.1 MB)
Gaven J. Martin
16 - Formation of Singularities in Solutions of the Nonlinear Schrödinger Equation with Critical Power Nonlinearity (pdf 1.61 MB)
Hayato Nawa
17 - Transference from Lipschitz Graphs to Periodic Lipschitz Graphs (pdf 710.77 KB)
Tao Qian
18 - Monotone Convergent Methods for a Variational Inequality (pdf 1.64 MB)
David E. Stewart and Steven J. Wright
19 - Degenerate Monge-Ampère Equations in Algebraic Geometry (pdf 994.1 KB)
Hajime Tsuji
20 - Nonlinear Oblique Boundary Value Problems for Two Dimensional Hessian and Curvature Equations (pdf 1.24 MB)
John Urbas
21 - Integrable Systems and the Geometry of Differential Operators (pdf 1.73 MB)
P.J. Vassiliou
22 - Existence of a Potential by Kurzweil-Henstock Integration (pdf 636 KB)
R. Výborný
23 - Multiwell Problems and Restrictions on Microstructure (pdf 1 MB)
Kewei Zhang