On an Inverse Problem for a Parabolic Equation |
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Authors: | Tkachenko D S |
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Institution: | 1. Moscow Institute of Engineering Physics, Russia
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Abstract: | In this paper, we study the inverse problem of the reconstruction of the right-hand side of special form for a parabolic equation in u in which the coefficients of u t and u depend on u (x,t) , with overdetermination given by the integral of the solution over time. The Fredholm property for this problem and the existence and uniqueness theorems in Sobolev spaces are established. |
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