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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 1, Pages 62–72
DOI: https://doi.org/10.17377/sibjim.2016.19.106 (Mi sjim912) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Localization for the discontinuity line of the right-hand side of a differential equation

D. S. Konovalova

Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
Full-text PDF (238 kB) Citations (2)
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DOI: https://doi.org/10.17377/sibjim.2016.19.106
Abstract: We propose a new approach to the study of inverse problems for differential equations with constant coefficients. Its application is illustrated by the example of one partial differential equation with three independent variables. The right-hand side of the equation is assumed to be a discontinuous function of space variables. The inverse problem is to find some hull containing the discontinuity line of the right-hand side. An algorithm for constructing such a hull is obtained: it is a square whose sides are tangent to the discontinuity line.
Keywords: inverse problem, discontinuous function, weak solution, differential properties.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00275
Received: 13.05.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 1, Pages 97–105
DOI: https://doi.org/10.1134/S1990478916010117
Bibliographic databases:
Document Type: Article
UDC: 517.911.5
Language: Russian
Citation: D. S. Konovalova, “Localization for the discontinuity line of the right-hand side of a differential equation”, Sib. Zh. Ind. Mat., 19:1 (2016), 62–72; J. Appl. Industr. Math., 10:1 (2016), 97–105
Citation in format AMSBIB
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\paper Localization for the discontinuity line of the right-hand side of a~differential equation
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\jour J. Appl. Industr. Math.
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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