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Matematicheskie Zametki, 2015, Volume 97, Issue 3, Pages 368–381
DOI: https://doi.org/10.4213/mzm10499 (Mi mzm10499) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficient in Parabolic Equations with Many Space Variables

V. L. Kamynin

National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (568 kB) Citations (18)
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DOI: https://doi.org/10.4213/mzm10499
Abstract: We obtain existence and uniqueness theorems for the solution of the inverse problem of the simultaneous determination of the right-hand side and the lowest coefficient in multidimensional parabolic equations with integral observation. We give an estimate of the maximum of the modulus of unknown coefficients with constants explicitly expressed in terms of the input data of the problem.
Keywords: multidimensional parabolic equation, inverse problem, Cordes condition, maximum principle, Schauder fixed-point theorem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
This work was supported by the Program for Enhancing the Competitiveness of Higher-Educational Establishments (NIIYaU MIFI).
Received: 09.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 3, Pages 349–361
DOI: https://doi.org/10.1134/S0001434615030062
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. L. Kamynin, “The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficient in Parabolic Equations with Many Space Variables”, Mat. Zametki, 97:3 (2015), 368–381; Math. Notes, 97:3 (2015), 349–361
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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