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A Note About the Strong Maximum Principle on RCD Spaces

Published online by Cambridge University Press:  07 January 2019

Nicola Gigli
SISSA, 34136 Trieste, Italy Email:
Chiara Rigoni
Hausdorff center for Mathematics, D-53115 Bonn, Germany Email:
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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.

© Canadian Mathematical Society 2018 


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


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