---
res:
  bibo_abstract:
  - "This paper deals with local criteria for the convergence to a global minimiser
    for gradient flow trajectories and their discretisations. To obtain quantitative
    estimates on the speed of convergence, we consider variations on the classical
    Kurdyka–Łojasiewicz inequality for a large class of parameter functions. Our assumptions
    are given in terms of the initial data, without any reference to an equilibrium
    point. The main results are convergence statements for gradient flow curves and
    proximal point sequences to a global minimiser, together with sharp quantitative
    estimates on the speed of convergence. These convergence results apply in the
    general setting of lower semicontinuous functionals on complete metric spaces,
    generalising recent results for smooth functionals on Rn. While the non-smooth
    setting covers very general spaces, it is also useful for (non)-smooth functionals
    on Rn.\r\n.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Dello Schiavo, Lorenzo
      foaf_surname: Dello Schiavo
      foaf_workInfoHomepage: http://www.librecat.org/personId=ECEBF480-9E4F-11EA-B557-B0823DDC885E
    orcid: 0000-0002-9881-6870
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Maas, Jan
      foaf_surname: Maas
      foaf_workInfoHomepage: http://www.librecat.org/personId=4C5696CE-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0845-1338
  - foaf_Person:
      foaf_givenName: Francesco
      foaf_name: Pedrotti, Francesco
      foaf_surname: Pedrotti
      foaf_workInfoHomepage: http://www.librecat.org/personId=d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  bibo_doi: 10.1090/tran/9156
  bibo_issue: '6'
  bibo_volume: 377
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001203273300001
  dct_isPartOf:
  - http://id.crossref.org/issn/0002-9947
  - http://id.crossref.org/issn/1088-6850
  dct_language: eng
  dct_publisher: American Mathematical Society@
  dct_title: Local conditions for global convergence of gradient flows and proximal
    point sequences in metric spaces@
...