Entire spacelike translating solitons in Minkowski space

Abstract

In this paper, we study entire spacelike translating solitons in Minkowski space. By constructing convex spacelike solutions to (1.3) in bounded convex domains, we obtain many entire smooth convex strictly spacelike translating solitons by prescribing boundary data at infinity.

30 pages

References in corpus (1)

• Generic mean curvature flow I; generic singularities

Cited by in corpus (1)

• Self-similar solutions to the mean curvature flow in the Minkowski plane ${\mathbf{R}}^{1,1}$