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The Inverse Problem of Simultaneous Determination of the Two Time-Dependent Lower Coefficients in a Nondivergent Parabolic Equation in the Plane

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dc.contributor.authorKamynin, V. L.
dc.contributor.authorКамынин, Виталий Леонидович
dc.date.accessioned2024-11-25T16:47:24Z
dc.date.available2024-11-25T16:47:24Z
dc.date.issued2020
dc.description.abstract© 2020, Pleiades Publishing, Ltd.We prove existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of the t-dependent coefficients of u and ux in a nondivergent parabolic equation with two independent variables from integral observation of x. Estimates of the maxima of the moduli of these coefficients with constants explicitly expressed in terms of the input data of the problem are given. An example of an inverse problem to which the proved theorems apply is presented.
dc.format.extentС. 93-104
dc.identifier.citationKamynin, V. L. The Inverse Problem of Simultaneous Determination of the Two Time-Dependent Lower Coefficients in a Nondivergent Parabolic Equation in the Plane / Kamynin, V.L. // Mathematical Notes. - 2020. - 107. - № 1-2. - P. 93-104. - 10.1134/S0001434620010095
dc.identifier.doi10.1134/S0001434620010095
dc.identifier.urihttps://www.doi.org/10.1134/S0001434620010095
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85080999965&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000519555100009
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/20363
dc.relation.ispartofMathematical Notes
dc.titleThe Inverse Problem of Simultaneous Determination of the Two Time-Dependent Lower Coefficients in a Nondivergent Parabolic Equation in the Plane
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue1-2
oaire.citation.volume107
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