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Carleman estimate and its application for anomalous slow diffusion equation

Published 30 Dec 2013 in math.AP | (1312.7639v3)

Abstract: A Carleman estimate and the unique continuation of solutions for an anomalous diffusion equation with fractional time derivative of order $0<\alpha<1$ are given. The estimate is derived via some subelliptic estimate for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators.

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