|
This article is cited in 13 scientific papers (total 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.
Received: 18.09.1996
Citation:
V. L. Kamynin, É. Franchini, “An inverse problem for a higher-order parabolic equation”, Mat. Zametki, 64:5 (1998), 680–691; Math. Notes, 64:5 (1998), 590–599
Linking options:
https://www.mathnet.ru/eng/mzm1444https://doi.org/10.4213/mzm1444 https://www.mathnet.ru/eng/mzm/v64/i5/p680
|
Statistics & downloads: |
Abstract page: | 501 | Full-text PDF : | 251 | References: | 72 | First page: | 1 |
|