Generic well-posedness for an inverse source problem for a multi-term time-fractional diffusion equation. (English) Zbl 1461.35236
Summary: This paper deals with an inverse source problem for the multi-term time-fractional diffusion equation with a diffusion parameter by using final overdetermination. On the basis of analytic Fredholm theory, a generic well-posedness of the inverse source problem in some suitable function space is proved.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35R25 | Ill-posed problems for PDEs |
| 35R11 | Fractional partial differential equations |
| 35K15 | Initial value problems for second-order parabolic equations |
| 47A55 | Perturbation theory of linear operators |
Keywords:
multi-term time-fractional diffusion equation; final overdetermination; Fredholm alternativeReferences:
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