Abstract: |
I will talk about the propagation curves of a (mean) curvature flow in a cylinder. In case there is no stationary curves in the cylinder, we show the existence of entire solutions propagating from $-\infty$ to $\infty$, connecting one (periodic) traveling wave with another; in case there are stationary solutions, we show the existence of entire solutions growing out of or tending to one stationary solution. |
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