Unique continuation property for anomalous slow diffusion equation

作者：Lin Ching Lung; Nakamura Gen^*

来源：Communications in Partial Differential Equations, 2016, 41(5): 749-758.

DOI：10.1080/03605302.2015.1135164

• Anomalous diffusion
• Carleman estimate
• fractional time derivative
• unique continuation property

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 through some subelliptic estimates for an operator associated to the anomalous diffusion equation using calculus of pseudo-differential operators.

• 出版日期2016