Accession Number : ADA193780

Title :   A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Banks, H T ; Ito, K

PDF Url : ADA193780

Report Date : Oct 1987

Pagination or Media Count : 32

Abstract : The authors present a theoretical framework that can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results. Keywords: Partial differential equations.

Descriptors :   *PARAMETRIC ANALYSIS, *APPROXIMATION(MATHEMATICS), ESTIMATES, INVERSION, PARAMETERS, PARTIAL DIFFERENTIAL EQUATIONS, APPLIED MATHEMATICS, CONVERGENCE, STABILITY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE