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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Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 680–691, November, 1998.
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Kamynin, V.L., Franchini, E. An inverse problem for a higher-order parabolic equation. Math Notes 64, 590–599 (1998). https://doi.org/10.1007/BF02316283
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DOI: https://doi.org/10.1007/BF02316283