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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1998 Volume 64, Issue 5, Pages 680–691 (Mi mzm1444)

This article is cited in 13 papers

An inverse problem for a higher-order parabolic equation

V. L. Kamynina, É. Franchinib

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences
b Universita di Milano-Bicocca, Dipartimento di Matematica ed Applicazioni

Abstract: We prove existence and uniqueness theorems for the inverse problem of finding the right-hand side of a higher-order parabolic equation with two independent variables and an additional condition in the form of integral overdetermination. The results obtained are used to study the passage to the limit in a sequence of such inverse problems with weakly convergent coefficients.

UDC: 517.956

Received: 18.09.1996

DOI: 10.4213/mzm1444


 English version:
Mathematical Notes, 1998, 64:5, 590–599

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© Steklov Math. Inst. of RAS, 2024