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.
1998
64 n.5
590
599
V. Kamynin; E. Francini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/606739
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