Geodesic
Inverse Problem for Fractional Diffusion Equation
Fractional calculus and applied analysis, Tome 14 (2011) no. 1, pp. 31-55
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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.
Keywords: Fractional Diffusion Equation, Inverse Problem, Boundary Spectral Data, Eigenfunction Expansion 
@article{FCAA_2011_14_1_a2,
     author = {Tuan, Vu Kim},
     title = {Inverse {Problem} for {Fractional} {Diffusion} {Equation}},
     journal = {Fractional calculus and applied analysis},
     pages = {31--55},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2011_14_1_a2/}
}
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Tuan, Vu Kim. Inverse Problem for Fractional Diffusion Equation. Fractional calculus and applied analysis, Tome 14 (2011) no. 1, pp. 31-55. http://geodesic.mathdoc.fr/item/FCAA_2011_14_1_a2/