Unique continuation property for anomalous slow diffusion equation |
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| Authors: | Ching-Lung Lin |
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| Affiliation: | Department of Mathematics and Research Center for Theoretical Sciences, NCTS, National Cheng-Kung University, Tainan, Taiwan |
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| Abstract: | ![]()
A Carleman estimate and the unique continuation of solutions for an anomalous diffusion equation with fractional time derivative of order 0 < α <1 are given. The estimate is derived through some subelliptic estimates for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators. |
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| Keywords: | Anomalous diffusion Carleman estimate fractional time derivative unique continuation property |
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