Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature
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526_2025_Article_3049.pdf
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3.09 MB
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Author(s)
Aryan, Shrey
Law, Michael B.
Date Issued
July 10, 2025
Journal
Calculus of Variations and Partial Differential Equations
Publisher
Springer Berlin Heidelberg
Citation
Aryan, S., Law, M.B. Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature. Calc. Var. 64, 202 (2025).
Version
Final published version
Abstract
We establish a concavity principle for solutions to elliptic and parabolic equations on locally symmetric spaces with nonnegative sectional curvature, extending the results of Langford and Scheuer (Commun Partial Differ Equ 46(6):1005–1016, 2021). To the best of our knowledge, this is the first general concavity principle established on spaces with non-constant sectional curvature.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00526-025-03049-8
