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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 633–647 (Mi smj2351)  
This article is cited in 25 scientific papers (total in 25 papers)

An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition

K. B. Sabitov, N. V. Martem'yanova

Samara State Academy of Social Sciences and Humanities, Samara
Full-text PDF (296 kB) Citations (25)
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Abstract: We examine a mixed type equation with the Lavrent'ev–Bitsadze operator and an unknown right-hand side in a rectangle and study a nonlocal boundary value problem in which the values of the stream function on the lateral sides of the rectangle are equal. The solution is given as a sum of a biorthogonal series. The uniqueness criterion and stability of solutions with respect to the boundary data are established.
Keywords: mixed type equation, inverse problem, spectral method, uniqueness, existence, stability.
Received: 11.08.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 507–519
DOI: https://doi.org/10.1134/S0037446612020310
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, N. V. Martem'yanova, “An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition”, Sibirsk. Mat. Zh., 53:3 (2012), 633–647; Siberian Math. J., 53:3 (2012), 507–519
Citation in format AMSBIB
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\pages 633--647
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :208
    References:40
    First page:15
     
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