Special Session 14: New perspectives in the qualitative study of nonlinear differential equations and dynamical systems

A delay-induced nonlocal free boundary problem
Jian Fang
Harbin Institute of Technology
Peoples Rep of China
Co-Author(s):    Yihong Du, Ningkui Sun
Abstract:
Incorporating time delay and Stefan type free boundary condition into reaction-diffusion equation yields a nonlocal problem. Under the KPP type setting we establish a dichotomy on propagation or vanishing. When propagation happens, the spreading speed is shown to exist and it is determined nonlinearly by a delay-induced nonlocal elliptic problem in half line.