Inverse problem of determining the kernel in an integro-differential equation of parabolic type

Abstract

We study the inverse problem of determining the multidimensional kernel of the integral term in a parabolic equation of second order. As additional information, the solution of the direct problem is given on the hyperplane x n = 0. We prove a local existence and uniqueness theorem for the inverse problem.

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Identifiers

DOI

10.1134/s0012266114010145

Citations and references