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A Note About the Strong Maximum Principle on RCD Spaces

Part of: Partial differential equations Potential theory on metric spaces

Published online by Cambridge University Press:  07 January 2019

Nicola Gigli  and
Chiara Rigoni
Nicola Gigli
Affiliation:
SISSA, 34136 Trieste, Italy Email: ngigli@sissa.it
Chiara Rigoni
Affiliation:
Hausdorff center for Mathematics, D-53115 Bonn, Germany Email: crigoni@sissa.it
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Abstract

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We give a direct proof of the strong maximum principle on finite dimensional RCD spaces based on the Laplacian comparison of the squared distance.

Keywords

maximum principleRCD space

MSC classification

Primary: 31E05: Potential theory on metric spaces
Secondary: 35B50: Maximum principles

Information

Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 2 , June 2019 , pp. 259 - 266
Copyright
© Canadian Mathematical Society 2018 

Footnotes

This research has been supported by the MIUR SIR-grant ‘Nonsmooth Differential Geometry’ (RBSI147UG4).

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