Analysis of the Laplacian of an incomplete manifold with almost polar boundary

Analysis of the Laplacian of an incomplete manifold with almost polar boundary

Motivated by recent interest in global analysis of singular manifolds, we establish the essential self-adjointness of a Laplacian, a Liouville property of subharmonic functions, conservativeness and parabolicity of an incomplete manifold. These results are applicable for manifolds with fractal Cauch...

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Bibliographic Details
Main Author: Jun Nasmaune
Format: Article
Language:English
Published: Sapienza Università Editrice 2005-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
laplacian
essential self-adjointness
lioville property
conservativeness
parabolicity
incomplete manifold
singular manifold
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2005(1)/109-126.pdf

Internet

https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2005(1)/109-126.pdf

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