Graphical Translators for Mean Curvature Flow

Abstract

In this paper we provide a full classification of complete translating graphs in ${\mathbf{R}}^3$. We also construct two $(n-1)$-parameter families of new examples of translating graphs in ${\mathbf{R}}^{n+1}$.

In the published version of the article, there was an incorrect reference, and, consequently, a correction appeared in a subsequent issue of the journal. There was no change in the statements or proofs of the results in the article