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.
An inverse problem for higher order parabolic equation / V. Kamynin; E. Francini. - In: MATHEMATICAL NOTES. - ISSN 1067-9073. - STAMPA. - 64 n.5:(1998), pp. 590-599. [10.1007/BF02316283]
An inverse problem for higher order parabolic equation
FRANCINI, ELISA
1998
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.
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