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Existence and construction of solutions of dissipative inverse problems

Publiceringsår: 1991
Språk: Engelska
Sidor: 542-554
Publikation/Tidskrift/Serie: Journal of Mathematical Analysis and Applications
Volym: 157
Nummer: 2
Dokumenttyp: Artikel i tidskrift
Förlag: Elsevier


The problem considered here is that of simultaneously reconstructing spatially dependent velocity and dissipation profiles for a one-dimensional medium using a finite time trace of normal incidence reflection data measured on one side of the medium. It is shown that if the sup norm of the reflection data is bounded in a particular way, then this inverse problem is guaranteed to have a solution. A numerical algorithm which is based on this existence proof is used to illustrate the reconstruction process.


  • Electrical Engineering, Electronic Engineering, Information Engineering


  • ISSN: 0022-247X

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