Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds
type: Item
instance of: scholarly article
title: Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds
zbMATH Open document ID: 0561.53045
author: Peter Li
published in: Journal of Differential Geometry
publication date: 1984-01-01T00:00:00Z
review text: Let M be a complete Riemannian manifold whose Ricci curvature has a negative quadratic lower bound. The author proves (i) \(L^ 1\)-uniqueness for solutions of the heat equation and (ii) any non-negative \(L^ 1\) subharmonic function is constant.
reviewed by: Harold Donnelly
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 3893973
zbMATH Keywords: Ricci curvature
zbMATH Keywords: heat equation
zbMATH Keywords: subharmonic function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214439287
OpenAlex ID: W1543858547
Wikidata QID: Q115187494
DOI: 10.4310/JDG/1214439287
description: scientific article