Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 14, Issue 1, Pages 31-55Publisher
WALTER DE GRUYTER GMBH
DOI: 10.2478/s13540-011-0004-x
Keywords
fractional diffusion equation; inverse problem; boundary spectral data; eigenfunction expansion
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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.
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