Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates

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چکیده

We consider a half-order time-fractional diffusion equation in arbitrary dimension and investigate inverse problems of determining the source term or coefficient from spatial data at an arbitrarily fixed time under some additional assumptions. We establish stability estimate Lipschitz type proofs are based on Bukhgeim-Klibanov method by using Carleman estimates.

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ژورنال

عنوان ژورنال: Inverse Problems and Imaging

سال: 2021

ISSN: ['1930-8345', '1930-8337']

DOI: https://doi.org/10.3934/ipi.2021040