Theoretical and Numerical Aspects of Geometric Variational Problems
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Price: AUD $33.00
Volume: 26
Venue: Australian National University

Preface

This volume contains the proceedings of a seminar week of invited talks associated with the Workshop "Theoretical and Numerical Aspects of Geometric Variational Problems".  The Workshop was conducted between August and October 1990:  the seminar week was held from September 24 - 28.

The workshop brought together researchers primarily from Australia and Germany working in theoretical and applied mathematics, numerical analysis and computer simulation.  Particular emphasis was put on the graphical visualisation of geometric data.  Many of the participants expressed their pleasure at the extend of the interaction between researchers in different but related fields.

The workshop was supported by the Department of Industry, Technology and Commerce (DITAC), through the Bilateral Science and Technology Program; but the German Research Foundation (DFG), Bonn; and by the Sonderforchungbereich SFB 256, Bonn University.  The workshop was held at the Centre for Mathematical Analysis at the Australian National University with the assistance of the Centre and the Department of Mathematics.

The organisers would like to thank all participants for their role in the success of the meeting.  Particular thanks are due to Marilyn Gray and Jill Smith for their extensive help towards the smooth running and friendly atmosphere of the workshop.

Content

ChapterPage
1Flow of Hypersurfaces by Curvature Functions
Ben Andrews		1
2Variational Techniques and Open Problems in the Recovery of Surface Shape from Image Shading
MJ Brooks		11
3On Entire solutions of the p-LAPLACIAN
J Chabrowski		27
4Discrete Norms for the Convergence of Boundary Intergral Methods
GA Chandler		62
5Recent Existence and Uniqueness Results in Shading Analysis
W Chojnacki		79
6On Singular Variational Problems
Ulrich Dierkes		89
7Local Techniques for Mean Curvature Flow
Klaus Ecker		107
8A Geometric Measure Theory Approach to Exterior Problems for Minimal Surfaces
Michael Gruter		120
9Singularity Formation in Geometric Evolution Equations
Gerhard Huisken		128
10Computing Conformal Maps and Minimal Surfaces
John Hutchinson		140
11Second Order Elliptica Equations with Venttsel Boundary Conditions
Yousong Luo		162
12Variational Properties of Some Simple Boundary Integral Equations
W McLean		168
13Some Topical Variational Geometry Problems in Computer Graphics
GN Newsam		179
14Local Spline Approximants
Andrew H Norton		195
15New Periodic Minimal Surfaces in H3
Konrad Polthier		201
16Hierarchical N-Body Calculations
Stephen Roberts		211
17Solution Geometry, KAC-MOODY Algerbras and the Yang-Baxter Equations
Ivan Sterling		225
18Crystalline Geometric Crystal growth
Jean E Taylor		231
19Further Existence Results for Two Point Boundary Value Problems Arising in Electro-Diffusion
HB Thompson		235
20Plateau's Problem for Minimal Surface with a Catenoidal End
Friedrich Tomi		240
21Boundary Regularity for the Solution of the Equation of Prescribed Mean Curvature
John IE Urbas		248
22Least Gradient Problems
Graham Williams		255
23Compensated Compactness and the Biting Lemma
Lewei Zhang		265

Copyright statement

First published in Australia 1991

© 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

Gerd Dziuk, Gerhard Huisken, John Hutchinson

Theoretical and Numerical Aspects of Geometric Variational Problems

ISBN 0 7315 0439 9