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| Local Stability for an Inverse Coefficient Problem of aFractional Diffusion Equation? |
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Citation： |
Caixuan REN,Xiang XU.Local Stability for an Inverse Coefficient Problem of aFractional Diffusion Equation?[J].Chinese Annals of Mathematics B,2014,35(3):429~446 |
| Page view： 2724
Net amount： 2397 |
Authors： |
Caixuan REN; Xiang XU; |
Foundation： |
National Natural Science Foundation of China (No. 11101093) and ShanghaiScience and Technology Commission (Nos. 11ZR1402800, 11PJ1400800). |
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| Abstract： |
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 H¨older type conditional stability
based upon two Carleman estimates for the corresponding differential equations of integer
orders. |
Keywords： |
Carleman estimate, Conditional stability, Inverse coefficient problem,Fractional diffusion equation |
Classification： |
45K05, 45Q05 |
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