Inverse problem for a two-dimensional strongly degenerate heat equation

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dc.contributor.authorIvanchov, Mykola
dc.contributor.authorVlasov, Vitaliy
dc.date.accessioned2022-01-26T21:59:00Z
dc.date.available2022-01-26T21:59:00Z
dc.date.issued2018-03-20
dc.description.abstractThis article concerns the existence and uniqueness of solutions in the problem of identifying the leading coefficient in a two-dimensional heat equation. We suppose that unknown coefficient depends on the time variable and the equation is strongly degenerate. Applying Schauder fixed-point theorem, we find conditions for existence of a classical solution.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIvanchov, M., & Vlasov, V. (2018). Inverse problem for a two-dimensional strongly degenerate heat equation. <i>Electronic Journal of Differential Equations, 2018</i>(77), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15219
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectInverse problem
dc.subjectStrongly degenerate heat equation
dc.subjectGreen function
dc.subjectClassical solution
dc.titleInverse problem for a two-dimensional strongly degenerate heat equation
dc.typeArticle

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