On Bloch's Theorem for Heat Maps

2019/10/29 by Jean C. Cortissoz, Cortissoz, Jean C.
Mathematics · #30C55 #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1910.13508

openalex publication_date 2019/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a proof via the contraction mapping principle of a Bloch-type theorem for normalised Bochner-Takahashi K-mappings, which are solutions to equations of the form Lu=0, where L is the heat operator.

Citations

• On Bloch's Theorem and the contraction mapping principle

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