Work

Convergence of semi-convex functions in CAT(1)-spaces

Year: 2024

Type: article

Abstract: We generalize the results of Kuwae–Shioya and Bačák on Mosco convergence established for CAT(0)-spaces to the CAT(1)-setting, so that Mosco convergence implies convergence of resolvents which in turn imply convergence of gradient flows for lower-semicontinuous semi-convex functions. Our techniques utilize weak convergence in CAT(1)-spaces and also cover asymptotic relations of sequences of such spaces introduced by Kuwae-Shioya, including Gromov–Hausdorff limits.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-024-02823-4

Authors: Hedvig Gál, Miklós Pálfia

Institutions: Corvinus University of Budapest, University of Szeged

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090