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This article is cited in 40 scientific papers (total in 40 papers)
The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation
V. L. Kamynin National Engineering Physics Institute "MEPhI", Moscow
Abstract:
Existence and uniqueness theorems for the solution to the inverse problem of determining the lower-order coefficient in multidimensional parabolic equations with integral observation are obtained. An estimate of the maximum of the modulus of the unknown coefficient with a constant explicitly expressed via the input data of the problem is given.
Keywords:
multidimensional parabolic equation, inverse problem for parabolic equations with integral observation, maximum principle, Cordes-type condition.
Received: 26.01.2012
Citation:
V. L. Kamynin, “The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation”, Mat. Zametki, 94:2 (2013), 207–217; Math. Notes, 94:2 (2013), 205–213
Linking options:
https://www.mathnet.ru/eng/mzm9370https://doi.org/10.4213/mzm9370 https://www.mathnet.ru/eng/mzm/v94/i2/p207
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Abstract page: | 702 | Full-text PDF : | 335 | References: | 99 | First page: | 63 |
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