Journal article
Gradient flows of ( K, N ) -convex functions with negative N
- Alternative title:
- Gradient flows of ( K, N ) -convex functions..
- Abstract:
- We discuss (K, N)-convexity and gradient flows for (K, N)-convex functionals on metric spaces, in the case of real K and negative N. In this generality, it is necessary to consider functionals unbounded from below and/or above, possibly attaining as values both the positive and the negative infinity. We prove several properties of gradient flows of (K, N)-convex functionals characterized by Evolution Variational Inequalities, including contractivity, regularity, and uniqueness.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 526.0KB, Terms of use)
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- Publisher copy:
- 10.1007/s00526-025-03187-z
Authors
+ Royal Society
More from this funder
- Funder identifier:
- https://ror.org/03wnrjx87
- Grant:
- NIFR1231659
- Publisher:
- Springer
- Journal:
- Calculus of Variations and Partial Differential Equations More from this journal
- Volume:
- 65
- Issue:
- 3
- Article number:
- 90
- Publication date:
- 2026-02-17
- Acceptance date:
- 2025-06-04
- DOI:
- EISSN:
-
1432-0835
- ISSN:
-
0944-2669
- Language:
-
English
- Pubs id:
-
2384040
- Local pid:
-
pubs:2384040
- Source identifiers:
-
3768132
- Deposit date:
-
2026-02-17
- ARK identifier:
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Terms of use
- Copyright date:
- 2026
- Licence:
- CC Attribution (CC BY)
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