当前位置: X-MOL 学术Fract. Calc. Appl. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation
Fractional Calculus and Applied Analysis ( IF 2.5 ) Pub Date : 2020-12-16 , DOI: 10.1515/fca-2020-0084
Marian Slodička 1
Affiliation  

Abstract 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.

中文翻译:

在非自治时间分数扩散方程中确定空间相关源的逆源问题的唯一性

摘要 我们研究了具有时间相关系数的线性时间分数扩散方程中出现的逆源问题的解的唯一性。我们以分离形式 h(t)f (x) 考虑源项。未知源 f (x) 从最终时间测量 u (x, T) 中恢复。在假设 h ∈ C ([0, T]) 和 0 ≢ h ≥ 0 的情况下,定理 3.1 中制定了一个新的唯一性结果。 h(t) 和微分算子的系数不需要时间上的单调性。
更新日期:2020-12-16
down
wechat
bug