Carleman estimate and its application for anomalous slow diffusion equation

Ching-Lung Lin; Gen Nakamura

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arXiv · 1312.7639

Carleman estimate and its application for anomalous slow diffusion equation

Ching-Lung Lin·Gen Nakamura

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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 $0<\alpha<1$ 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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Ching-Lung Lin, Gen Nakamura. 2013-12-30. Carleman estimate and its application for anomalous slow diffusion equation. https://arxiv.org/abs/1312.7639

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