---
res:
  bibo_abstract:
  - In this paper we introduce the critical variational setting for parabolic stochastic
    evolution equations of quasi- or semi-linear type. Our results improve many of
    the abstract results in the classical variational setting. In particular, we are
    able to replace the usual weak or local monotonicity condition by a more flexible
    local Lipschitz condition. Moreover, the usual growth conditions on the multiplicative
    noise are weakened considerably. Our new setting provides general conditions under
    which local and global existence and uniqueness hold. Moreover, we prove continuous
    dependence on the initial data. We show that many classical SPDEs, which could
    not be covered by the classical variational setting, do fit in the critical variational
    setting. In particular, this is the case for the Cahn-Hilliard equations, tamed
    Navier-Stokes equations, and Allen-Cahn equation.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Antonio
      foaf_name: Agresti, Antonio
      foaf_surname: Agresti
      foaf_workInfoHomepage: http://www.librecat.org/personId=673cd0cc-9b9a-11eb-b144-88f30e1fbb72
    orcid: 0000-0002-9573-2962
  - foaf_Person:
      foaf_givenName: Mark
      foaf_name: Veraar, Mark
      foaf_surname: Veraar
  bibo_doi: 10.1007/s00440-023-01249-x
  bibo_volume: 188
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001154226500001
  dct_isPartOf:
  - http://id.crossref.org/issn/0178-8051
  - http://id.crossref.org/issn/1432-2064
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: The critical variational setting for stochastic evolution equations@
...
