---
res:
  bibo_abstract:
  - 'We consider the large-scale regularity of solutions to second-order linear elliptic
    equations with random coefficient fields. In contrast to previous works on regularity
    theory for random elliptic operators, our interest is in the regularity at the
    boundary: We consider problems posed on the half-space with homogeneous Dirichlet
    boundary conditions and derive an associated C1,α-type large-scale regularity
    theory in the form of a corresponding decay estimate for the homogenization-adapted
    tilt-excess. This regularity theory entails an associated Liouville-type theorem.
    The results are based on the existence of homogenization correctors adapted to
    the half-space setting, which we construct-by an entirely deterministic argument-as
    a modification of the homogenization corrector on the whole space. This adaption
    procedure is carried out inductively on larger scales, crucially relying on the
    regularity theory already established on smaller scales.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Julian L
      foaf_name: Fischer, Julian L
      foaf_surname: Fischer
      foaf_workInfoHomepage: http://www.librecat.org/personId=2C12A0B0-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0479-558X
  - foaf_Person:
      foaf_givenName: Claudia
      foaf_name: Raithel, Claudia
      foaf_surname: Raithel
  bibo_doi: 10.1137/16M1070384
  bibo_issue: '1'
  bibo_volume: 49
  dct_date: 2017^xs_gYear
  dct_identifier:
  - UT:000396681800004
  dct_isPartOf:
  - http://id.crossref.org/issn/00361410
  dct_language: eng
  dct_publisher: Society for Industrial and Applied Mathematics @
  dct_title: Liouville principles and a large-scale regularity theory for random elliptic
    operators on the half-space@
...