4 papers
Analysis and approximation for inverse potential problem of space-dependent variable-exponent sub-diffusion in heterogeneous medium
Zhiyuan Li, Chunlong Sun, Xiangcheng Zheng
Anomalous transport in complex heterogeneous medium is often characterized by non-Markovian memory effects and spatially varying trapping properties. From the point of view of cont…
Inverse source problem of sub-diffusion of variable exponent
Zhiyuan Li, Chunlong Sun, Xiangcheng Zheng
This work investigates both direct and inverse problems of the variable-exponent sub-diffusion model, which attracts increasing attentions in both practical applications and theore…
Conditional well-posedness and data-driven method for identifying the dynamic source in a coupled diffusion system from one single boundary measurement
Chunlong Sun, Mengmeng Zhang, Zhidong Zhang
This work considers the inverse dynamic source problem arising from the time-domain fluorescence diffuse optical tomography (FDOT). We recover the dynamic distributions of fluoroph…
Simultaneous uniqueness and numerical inversion for an inverse problem in the time-domain diffuse optical tomography with fluorescence
Zhiyuan Li, Chunlong Sun
In this work, an inverse problem on the determination of multiple coefficients arising from the time-domain diffuse optical tomography with fluorescence (DOT-FDOT) is investigated.…