| Abstract: |
| We consider a bistable reaction-diffusion equation in the whole plane, and discuss the behavior of the level curve of solutions which converge locally to a planar traveling wave solution. It is known that the level curve of a radially symmetric solution moves slightly slower than that of a planar traveling wave solution. Specifically, the distance of the level curves grows logarithmically as time goes to infinity. In this talk, we show that the distance between the level curves of some solution and that of a planar traveling wave solution can grow polynomially. |
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