摘要
Time-fractional diffusion equations are of great interest and importance on describing the power law decay for diffusion in porous media. In this paper, to identify the diffusion rate, i.e., the heterogeneity of medium, the authors consider an inverse coefficient problem utilizing finite measurements and obtain a local HSlder type conditional stability based upon two Carleman estimates for the corresponding differential equations of integer orders.
基金
supported by the National Natural Science Foundation of China(No.11101093)
Shanghai Science and Technology Commission(Nos.11ZR1402800,11PJ1400800)
