| Abstract: |
| Entire solutions of PDEs are important in order to understand the structure of solutions to them.
In this talk, we focus attention on a general reaction-diffusion equation including
Allen-Cahn-Nagumo equation and investigate an entire solution of that,
called ``V-shaped front which was discovered by H. Ninomiya and M. Taniguchi (2005),
in the exterior domain.
We prove that, if the complete propagation of the V-shaped front is guaranteed,
the V-shaped front can recover after passing the obstacle.
This is a joint work with Hongjun Guo (University of Wyoming). |
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