Translating solitons $C^1-$asymptotic to two half-hyperplanes

Abstract

We prove that the hyperplanes parallel to ${\mathbf{e}}_{n+1}$ are the unique examples of translating solitons $C^1-$asymptotic to two half-hyperplanes outside a vertical cylinder in ${\mathbb{R}}^{n+1}$.

9 pages. To appear at Proceedings of the AMS