Global existence and blow-up of solutions of the Cauchy problem for a time fractional diffusion system

摘要

We prove sharp blow-up and global existence results for the Cauchy problem of a time fractional diffusion system when initial values u(0) not equivalent to 0 and v(0) not equivalent to 0. The critical exponent of this problem is determined. (C) 2019 Elsevier Ltd. All rights reserved.