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Matematicheskie Zametki, 2015, Volume 98, Issue 5, Pages 710–724
DOI: https://doi.org/10.4213/mzm10778 (Mi mzm10778) 		 
This article is cited in 22 scientific papers (total in 22 papers)

On the Solvability of the Inverse Problem for Determining the Right-Hand Side of a Degenerate Parabolic Equation with Integral Observation

V. L. Kamynin

National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (567 kB) Citations (22)
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DOI: https://doi.org/10.4213/mzm10778
Abstract: Existence and uniqueness theorems and theorems on stability under perturbations of the input data for solutions of the inverse problem for a degenerate parabolic equation in the plane with integral observation are obtained. The cases of bounded and unbounded coefficients are studied. Estimates of the solution with constants explicitly written out in terms of the input data of the problem are obtained.
Keywords: degenerate parabolic equation, solvability of the inverse problem, stability of solutions, perturbation of the input data, integral observation, maximum principle.
Received: 13.04.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 5, Pages 765–777
DOI: https://doi.org/10.1134/S0001434615110061
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. L. Kamynin, “On the Solvability of the Inverse Problem for Determining the Right-Hand Side of a Degenerate Parabolic Equation with Integral Observation”, Mat. Zametki, 98:5 (2015), 710–724; Math. Notes, 98:5 (2015), 765–777
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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