Degree Type

Dissertation

Date of Award

1993

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Paul E. Sacks

Abstract

In this thesis we study the problem of recovering the unknown impedance A in the partial differential equation Au[subscript]tt - (Au[subscript]x)[subscript]x = 0, x > 0, t > 0 subject to the boundary condition u[subscript]x(0,t)=-[delta](t) from the measured response u[subscript]t(x,t), 0 < t < 3X at x = X. It is assumed that (UNFORMATTED TABLE OR EQUATION FOLLOWS)\eqalignu = 0, &t < 0 0 < [delta] < A, Aϵ H[superscript]1 & and A[superscript]' = 0, x≥ X. (TABLE/EQUATION ENDS);We present two different iterative methods to recover A from the data u[subscript]t(X,t), 0

DOI

https://doi.org/10.31274/rtd-180813-12886

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Thiagarajah Maheswaran

Language

en

Proquest ID

AAI9321194

File Format

application/pdf

File Size

77 pages

Included in

Mathematics Commons

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