反常慢扩散方程的Carleman估计及其应用
Carleman estimate and its application for anomalous slow diffusion equation
摘要：
给出了一类具有分数阶时间导数$0<α<1$的反常扩散方程解的Carleman估计和唯一延拓.该估计是通过与异常扩散方程相关的算子的亚椭圆估计，利用伪微分算子的微积分得到的。
英文摘要：
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 via some subelliptic estimate for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
