Uniqueness for an Inverse Source Problem of Determining a Space-Dependent Source in a Non-Autonomous Time-Fractional Diffusion Equation

被引：0
作者：
Marian Slodička
机构：
[1] Ghent University,Research Group Numerical Analysis and Mathematical Modelling Department of Electronics and Information Systems
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 35R30; Secondary 34K29; time-fractional diffusion equation; inverse source problem; uniqueness;
D O I：
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学科分类号：
摘要：
We study uniqueness of a solution for an inverse source problem arising in linear time-fractional diffusion equations with time-dependent coefficients. We consider source term in a separated form h(t)f(x). The unknown source f(x) is recovered from the final time measurement u(x, T). A new uniqueness result is formulated in Theorem 3.1 under the assumption that h ∈ C([0, T]) and 0 ≡ h ≥ 0. No monotonicity in time for h(t) and for coefficients of the differential operator is required.
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页码：1702 / 1711
页数：9
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