Sobolev Calculus on Metric Measure Spaces

2020 ◽  
pp. 33-65
Author(s):  
Nicola Gigli ◽  
Enrico Pasqualetto
Keyword(s):  
Metric Measure Spaces ◽  
Measure Spaces

scholarly journals Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

2017 ◽  
Vol 272 (8) ◽  
pp. 3311-3346 ◽  
Author(s):  
Alexander Grigor'yan ◽  
Eryan Hu ◽  
Jiaxin Hu
Keyword(s):  
Dirichlet Forms ◽  
Heat Kernels ◽  
Metric Measure Spaces ◽  
Measure Spaces ◽  
Non Local

Jump processes and nonlinear fractional heat equations on metric measure spaces

2006 ◽  
Vol 279 (1-2) ◽  
pp. 150-163 ◽  
Author(s):  
Jiaxin Hu ◽  
Martina Zähle
Keyword(s):  
Jump Processes ◽  
Heat Equations ◽  
Metric Measure Spaces ◽  
Measure Spaces

scholarly journals A note on the extension of BV functions in metric measure spaces

2008 ◽  
Vol 340 (1) ◽  
pp. 197-208 ◽  
Author(s):  
Annalisa Baldi ◽  
Francescopaolo Montefalcone
Keyword(s):  
Metric Measure Spaces ◽  
Bv Functions ◽  
Measure Spaces

scholarly journals Well-posedness of Lagrangian flows and continuity equations in metric measure spaces

2014 ◽  
Vol 7 (5) ◽  
pp. 1179-1234 ◽  
Author(s):  
Luigi Ambrosio ◽  
Dario Trevisan
Keyword(s):  
Well Posedness ◽  
Metric Measure Spaces ◽  
Continuity Equations ◽  
Measure Spaces

scholarly journals Discretization of integrals on compact metric measure spaces

2021 ◽  
Vol 381 ◽  
pp. 107602
Author(s):  
Martin D. Buhmann ◽  
Feng Dai ◽  
Yeli Niu
Keyword(s):  
Metric Measure Spaces ◽  
Measure Spaces

A Liouville theorem for weightedp−Laplace operator on smooth metric measure spaces

2016 ◽  
Vol 40 (4) ◽  
pp. 992-1002 ◽  
Author(s):  
Lin Feng Wang ◽  
Ze Yu Zhang ◽  
Liang Zhao ◽  
Yu Jie Zhou
Keyword(s):  
Laplace Operator ◽  
Liouville Theorem ◽  
Metric Measure Spaces ◽  
Smooth Metric Measure Spaces ◽  
Measure Spaces
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