IDENTIFIABILITY OF SPATIALLY-VARYING CONDUCTIVITY FROM POINT OBSERVATION AS AN INVERSE STURM-LIOUVILLE PROBLEM uri icon

abstract

  • This paper discusses identifiability of the spatially varying parameter alpha (x) in the heat equation u//t minus ( alpha u//x)//x equals f from measurement of u at a single point. The identifiability problem is formulated as an inverse Sturm-Liouville problem for ( alpha y prime ) prime plus lambda y equals 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.

published proceedings

  • SIAM JOURNAL ON CONTROL AND OPTIMIZATION

author list (cited authors)

  • KRAVARIS, C., & SEINFELD, J. H.

citation count

  • 23

complete list of authors

  • KRAVARIS, C||SEINFELD, JH

publication date

  • May 1986