We study the problem of finding the memory term of a hyperbolic equation from the Dirichlet-to-Neumann map given on a finite time interval. We prove that this map determines uniquely some characteristics of the memory function and thereby memory functions of a special form.
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Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
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- Inverse problems and classes of solutions of evolution equations
- Planar crack identification for the transient heat equation
- Parameter identification for Laplace equation and approximation in Hardy classes
- Determination of the memory kernel from boundary measurements on a finite time interval
- Parabolic integro-differential identification problems related to memory kernels with special symmetries
- Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation
Determination of the memory kernel from boundary measurements on a finite time interval
G. V. Dyatlov
- Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4, 630090, Novosibirsk, Russia. E-mail:
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Published Online: | DOI: https://doi.org/10.1515/156939403322004937
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Published in Print: 2003-03-01
Citation Information: Journal of Inverse and Ill-posed Problems jiip, Volume 11, Issue 1, Pages 59–66, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939403322004937.
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- Inverse problems and classes of solutions of evolution equations
- Planar crack identification for the transient heat equation
- Parameter identification for Laplace equation and approximation in Hardy classes
- Determination of the memory kernel from boundary measurements on a finite time interval
- Parabolic integro-differential identification problems related to memory kernels with special symmetries
- Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation
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