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Title: Uniqueness for a one-dimensional inverse parabolic problem
Authors: Elayyan, Alaeddin
Keywords: Differential equations;Differential equations, Partial
Issue Date: 1999
Abstract: We prove the uniqueness of a discontinuous principal coefficient of a one-dimensional second-order parabolic equation of the form a0+chi(Q*)b with known smooth a0 and unknown b = b(x) from all possible lateral boundary measurements of solutions of this equation. In the proofs we make use of singular solutions of parabolic equations.
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