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Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient
AIMS Mathematics 2024, 9(3): 5394-5406
Published: 15 March 2024
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This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient q. The main result provided a Hölder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal derivatives of eigenfunctions of the operator A q := Δ + q.

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