Another proof for the removable singularities of the heat equation

2009/09/01 by Kin Ming Hui, Hui, Kin Ming
Computer Science · Mathematics · #35B65 (Primary) #35K05 #35K20 #35K55 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0909.0182

openalex publication_date 2009/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give two different simple proofs for the removable singularities of the heat equation in (Ω∖\x₀\)× (0,T) with n≥ 3. We also give a necessary and sufficient condition for removable singularities of the heat equation in (Ω∖\x₀\)× (0,T) for the case n=2.

Related

• Removability of time-dependent singularities in the heat equation
• Removable singularities for solutions of the fractional Heat Equation in time varying domains
• Isolated singularities in the heat equation behaving like fractional Brownian motions
• Removable singularities for Lipschitz caloric functions in time varying domains
• Removable singularity of the polyharmonic equation