Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature
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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.
Date issued
2025-07-10Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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