The translating soliton equation

2018/12/03 by Rafael López, López, Rafael
Computer Science · Mathematics · #53A10 #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1812.00592

openalex publication_date 2018/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an analytic approach to the translating soliton equation with a special emphasis in the study of the Dirichlet problem in convex domains of the plane.

Related

• The Dirichlet problem for the α-translating soliton equation on a strip
• The translating soliton of mean curvature flow
• Stability property and Dirichlet problem for translating solitons
• Translating solitons of translation and homothetical types
• Convexity and the Dirichlet problem of translating mean curvature flows