Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries?

作者：Li, Lei; Wang, Mingxin^*

来源：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 58: 103231.

DOI：10.1016/j.nonrwa.2020.103231

• Nonlocal diffusion
• Free boundary
• Global existence
• Blow-up

In this paper, we investigate some nonlocal diffusion problems with free boundaries. We first give the existence and uniqueness of local solution by the ODE basic theory and the contraction mapping principle. Then we provide a complete clas-sification for the global existence and finite time blow-up of solutions. Moreover, estimates of blow-up rate and blow-up time are also obtained for the blow-up solution.

• 单位
  harbin inst technol