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- Title
Inverse source problem with a posteriori boundary measurement for fractional diffusion equations.
- Authors
Janno, Jaan; Kian, Yavar
- Abstract
In this article, we study inverse source problems for time‐fractional diffusion equations from a posteriori boundary measurement. Using the memory effect of these class of equations, we solve these inverse problems for several class of space‐ or time‐dependent source terms. We prove also the unique determination of a general class of space–time‐dependent separated variables source terms from such measurement. Our approach is based on the study of singularities of the Laplace transform in time of boundary traces of solutions of time‐fractional diffusion equations.
- Subjects
DIFFUSION measurements; INVERSE problems; LAPLACE transformation; PROBLEM solving; RIESZ spaces; HEAT equation
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 14, p15868
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9432