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One-dimensional inverse problems of mathematical physics
This monograph deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times. The problems are one-dimensional in nature since the desired coefficient of the equation...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
American Mathematical Society
1986
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2269789 |
_version_ | 1780954798123646976 |
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author | Lavrent'ev, M M Reznitskaya, K G Yakhno, V G Schulenberger, J R |
author_facet | Lavrent'ev, M M Reznitskaya, K G Yakhno, V G Schulenberger, J R |
author_sort | Lavrent'ev, M M |
collection | CERN |
description | This monograph deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times. The problems are one-dimensional in nature since the desired coefficient of the equation is a function of only one coordinate, while the desired right side is a function only of time. The authors use methods based on the spectral theory of ordinary differential operators of second order and also methods which make it possible to reduce the investigation of the inverse problems to the in |
id | cern-2269789 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1986 |
publisher | American Mathematical Society |
record_format | invenio |
spelling | cern-22697892021-04-21T19:10:01Zhttp://cds.cern.ch/record/2269789engLavrent'ev, M MReznitskaya, K GYakhno, V GSchulenberger, J ROne-dimensional inverse problems of mathematical physicsGeneral Theoretical PhysicsThis monograph deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times. The problems are one-dimensional in nature since the desired coefficient of the equation is a function of only one coordinate, while the desired right side is a function only of time. The authors use methods based on the spectral theory of ordinary differential operators of second order and also methods which make it possible to reduce the investigation of the inverse problems to the inAmerican Mathematical Societyoai:cds.cern.ch:22697891986 |
spellingShingle | General Theoretical Physics Lavrent'ev, M M Reznitskaya, K G Yakhno, V G Schulenberger, J R One-dimensional inverse problems of mathematical physics |
title | One-dimensional inverse problems of mathematical physics |
title_full | One-dimensional inverse problems of mathematical physics |
title_fullStr | One-dimensional inverse problems of mathematical physics |
title_full_unstemmed | One-dimensional inverse problems of mathematical physics |
title_short | One-dimensional inverse problems of mathematical physics |
title_sort | one-dimensional inverse problems of mathematical physics |
topic | General Theoretical Physics |
url | http://cds.cern.ch/record/2269789 |
work_keys_str_mv | AT lavrentevmm onedimensionalinverseproblemsofmathematicalphysics AT reznitskayakg onedimensionalinverseproblemsofmathematicalphysics AT yakhnovg onedimensionalinverseproblemsofmathematicalphysics AT schulenbergerjr onedimensionalinverseproblemsofmathematicalphysics |