Publication: The Inverse Problem of Simultaneous Determination of the Two Time-Dependent Lower Coefficients in a Nondivergent Parabolic Equation in the Plane
Дата
2020
Авторы
Kamynin, V. L.
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Аннотация
© 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.
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Цитирование
Kamynin, 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
URI
https://www.doi.org/10.1134/S0001434620010095
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https://www.scopus.com/record/display.uri?eid=2-s2.0-85080999965&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000519555100009
https://openrepository.mephi.ru/handle/123456789/20363