Abstract
The dependence of transmissivity estimates on head data is both nonlinear and ill-posed, and so is difficult to analyse and solve. The paper looks at the setting of this problem, in particular in what spaces are the actual data and in what spaces can uniqueness be proven. The paper also looks at the problem of finding a discretization that has at least some of the useful properties found in discretizations of linear ill-posed problems based the singular value decomposition. As definitive answers have not yet been found to the many of the questions raised, the paper is intended to serve more as a platform for further work than as a report on results achieved.
Information
Published: 1 January 1992
First available in Project Euclid: 18 November 2014
zbMATH: 0791.35154
MathSciNet: MR1210763
Rights: Copyright © 1992, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. 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.
