Time analyticity of ancient solutions to the heat equation on graphs

2019/11/06 by Fengwen Han, Bobo Hua, Han, Fengwen +3
Computer Science · Mathematics · #05C10 #31C05 #Advanced Mathematical Modeling in Engineering #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1911.02280

openalex publication_date 2019/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the time analyticity of ancient solutions to heat equations on graphs. Analogous to Dong and Zhang [DZ19], we prove the time analyticity of ancient solutions on graphs under some sharp growth condition.

Related

• A note on time analyticity for ancient solutions of the heat equation
• Ancient caloric functions on graphs with unbounded Laplacians
• Ancient caloric functions and parabolic frequency on graphs
• Dimensional bounds for ancient caloric functions on graphs
• Smooth solutions to the heat equation which are nowhere analytic in time