| Abstract: |
| Sharp estimates of the spreading rates for the nonlocal KPP free boundary problem with symmetric kernels have been established by Du and Ni (Math Ann 2024, JEMS 2025). In this talk we report some recent progresses on the precise propagation profile of this model with nonsymmetric kernels, where significant differences arise. These include sharp conditions governing linear spreading (spreading with finite speed) and accelerated spreading (spreading with infinite speed), and precise rates of spreading. |
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