Open AccessLocal gradient estimates for heat equation on π
πΆπ·*(π,π) metric measure spaces
Author(s) -
Jiacheng Huang
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14185
Subject(s) - measure (data warehouse) , metric (unit) , heat equation , mathematics , metric space , mathematical analysis , computer science , economics , data mining , operations management
In this paper, we will establish a local gradient estimate and a Liouville type theorem for weak solutions of the heat equation on R C D β ( K , N ) RCD^*(K,N) metric measure spaces.
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