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Matematicheskie Zametki, 2010, Volume 87, Issue 6, Pages 907–918
DOI: https://doi.org/10.4213/mzm6577 (Mi mzm6577) 		 
This article is cited in 47 scientific papers (total in 47 papers)

The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type

K. B. Sabitov, E. M. Safin

Sterlitamak Branch of Academy of Sciences of Bashkortostan
Full-text PDF (442 kB) Citations (47)
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DOI: https://doi.org/10.4213/mzm6577
Abstract: We study the inverse problem related to finding the unknown right-hand side of the equation of mixed parabolic-hyperbolic type in a rectangular domain. A uniqueness criterion for the solution is established. The solution is constructed as the sum of the series in eigenfunctions of the corresponding one-dimensional spectral problem.
Keywords: equation of mixed parabolic-hyperbolic type, spectral problem, irrational algebraic number, Weierstrass test for uniform convergence.
Received: 11.11.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 6, Pages 880–889
DOI: https://doi.org/10.1134/S0001434610050287
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, E. M. Safin, “The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type”, Mat. Zametki, 87:6 (2010), 907–918; Math. Notes, 87:6 (2010), 880–889
Citation in format AMSBIB
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    • This publication is cited in the following 47 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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