Entire spacelike translating solitons in Minkowski space
Qi Ding
TL;DR
This paper investigates entire spacelike translating solitons in Minkowski space, constructing convex solutions in bounded domains to generate many smooth, convex, strictly spacelike solitons with prescribed boundary data at infinity.
Contribution
It introduces a method to construct entire smooth convex strictly spacelike translating solitons in Minkowski space by solving boundary value problems in bounded convex domains.
Findings
Constructed convex spacelike solutions in bounded domains.
Generated many entire smooth convex strictly spacelike solitons.
Prescribed boundary data at infinity for soliton construction.
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Geometry and complex manifolds