Unique solvability of the inverse problem of determination of the leading coefficient in a parabolic equation |
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Authors: | V L Kamynin |
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Institution: | 1.Moscow Institute of Physics and Engineering,Moscow,Russia |
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Abstract: | We study existence and uniqueness of the solution for the inverse problem of determination of the unknown coefficient ϱ(t) multiplying u
t
in a nondivergence parabolic equation. As additional information, the integral of the solution over the domain of space variables
with some given weight function is specified. The coefficients of the equation depend both on time and on the space variables. |
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Keywords: | |
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