期刊论文

Zhiyuan Li<&wdkj&>Zhiyuan Li Zhiyuan Li Zhiyuan Li

英文

Mathematical Methods in the Applied Sciences

0170-4214

2023

46

2

2275-2287

10.1002/mma.8644

Japan Society for the Promotion of Science; National Natural Science Foundation of China [11801326, 11871240]

本校为第一机构

In this article, we discuss a solution to time-fractional diffusion equation partial differential t alpha(u-u0)+Au=0$$ {\partial}_t{\alpha}\left(u-{u}_0\right)+ Au=0 $$ with the homogeneous Dirichlet boundary condition, where an elliptic operator -A$$ -A $$ is not necessarily symmetric. We prove that the solution u$$ u $$ is identically zero if its normal derivative with respect to the operator A$$ A $$ vanishes on an arbitrarily chosen subboundary of the spatial domain over a time interval. The proof is based on the Laplace transform and the spectral decomposition for a nonsymmetric elliptic ...