Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 1986 | Published
Journal Article Open

Identifiability of Spatially-Varying Conductivity from Point Observation as an Inverse Sturm–Liouville Problem


This paper discusses identifiability of the spatially varying parameter α(x) in the heat equation uₜ - (αuₓ)ₓ= f from measurement of u at a single point. The identifiability problem is formulated as an inverse Sturm–Liouville problem for (αy′)′ + λy = 0 . It is proved that the eigenvalues and the normalizing constants determine the above Sturm–Liouville operator uniquely. Identifiability and nonidentifiability results are obtained for three heat conduction problems.

Additional Information

© 1986 Society for Industrial and Applied Mathematics.

Attached Files

Published - 0324030.pdf


Files (1.6 MB)
Name Size Download all
1.6 MB Preview Download

Additional details

August 22, 2023
October 18, 2023