Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation

A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation... This study provides a stability theory for the nonlinear least-squares formulation of estimating the diffusion coefficient in a two-point boundary-value problem from an error-corrupted observation of the state variable. It is based on analysing the projection of the observation on the nonconvex attainable set. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation

Loading next page...
 
/lp/springer-journals/a-geometric-theory-forl-2-stability-of-the-inverse-problem-in-a-one-gxoft4eWy6

References (12)

Publisher
Springer Journals
Copyright
Copyright © 1993 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01314817
Publisher site
See Article on Publisher Site

Abstract

This study provides a stability theory for the nonlinear least-squares formulation of estimating the diffusion coefficient in a two-point boundary-value problem from an error-corrupted observation of the state variable. It is based on analysing the projection of the observation on the nonconvex attainable set.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Feb 4, 2005

There are no references for this article.