Inverse problem for a parabolic equation with integral overdetermination
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| 024 | 7 | 0 | |a 10.1515/156939403766493546 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939403766493546 | ||
| 245 | 0 | 0 | |a Inverse problem for a parabolic equation with integral overdetermination |h [Elektronische Daten] |c [A. I. Prilepko, D. S. Tkachenko] |
| 520 | 3 | |a In the present work, we examine an inverse problem of recovery the right-hand side (of a special form) of a parabolic equation with variable coefficients. As overdetermination, a time integral of solution is specified. Such a problem is proved to possess the Fredholm property; also proved is the existence and uniqueness of its solution provided that the operator coefficients at higher-order derivatives with respect to spatial variables are stationary. Stability estimates are given. Some easily verifiable sufficient conditions for correct solvability of the inverse problem "on the whole" are found. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 700 | 1 | |a Prilepko |D A. I. |u Mech.-Math. Faculty, Moscow State University, GSP-2, Leninskie Gory, 119992, Moscow, Russia |4 aut | |
| 700 | 1 | |a Tkachenko |D D. S. |u Moscow Engineering-Physics Institute, Kashirskoe Shosse, 31, 115409, Moscow, Russia. E-mail: sdtk@mail1.lebedev.ru |4 aut | |
| 773 | 0 | |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 11/2(2003-06-01), 191-218 |x 0928-0219 |q 11:2<191 |1 2003 |2 11 |o jiip | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939403766493546 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939403766493546 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Prilepko |D A. I. |u Mech.-Math. Faculty, Moscow State University, GSP-2, Leninskie Gory, 119992, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tkachenko |D D. S. |u Moscow Engineering-Physics Institute, Kashirskoe Shosse, 31, 115409, Moscow, Russia. E-mail: sdtk@mail1.lebedev.ru |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 11/2(2003-06-01), 191-218 |x 0928-0219 |q 11:2<191 |1 2003 |2 11 |o jiip | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||