English

On Bloch's Theorem for Heat Maps

Complex Variables 2019-10-31 v1 Analysis of PDEs

Abstract

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

Cite

@article{arxiv.1910.13508,
  title  = {On Bloch's Theorem for Heat Maps},
  author = {Jean C. Cortissoz},
  journal= {arXiv preprint arXiv:1910.13508},
  year   = {2019}
}

Comments

Every criticism is welcome. The ideas presented here are a refinement (and an improvement) of those presented in "On Bloch's theorem and the contraction mapping principle" arxiv:1702.01080v3

R2 v1 2026-06-23T11:58:50.744Z