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Nonlinear diffusion equations and curvature conditions in metric measure spaces

Abstract:

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors' new approach uses the nonlinear di...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publication website:
https://bookstore.ams.org/memo-262-1270

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Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
St Hilda's College
Role:
Author
ORCID:
0000-0002-1932-7148
Publisher:
American Mathematical Society Publisher's website
Journal:
Memoirs of the American Mathematical Society Journal website
Publication date:
2020-02-13
Acceptance date:
2017-02-21
EISBN:
978-1-4704-5513-2
EISSN:
1947-6221
ISSN:
0065-9266
Source identifiers:
1061634
ISBN:
978-1-4704-3913-2
Keywords:
Pubs id:
pubs:1061634
UUID:
uuid:467a6f4b-45b7-438e-8a61-5b26f31f8484
Local pid:
pubs:1061634
Deposit date:
2019-10-11

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