Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1681

 Title: Inverse Problem for Fractional Diffusion Equation Authors: Tuan, Vu Kim Keywords: Fractional Diffusion EquationInverse ProblemBoundary Spectral DataEigenfunction Expansion Issue Date: 2011 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 31p-55p Abstract: We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral measurements. Description: MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30 URI: http://hdl.handle.net/10525/1681 ISSN: 1311-0454 Appears in Collections: 2011

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