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Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries

This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice sp...

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Autor principal: Nier, Francis
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Acceso en línea:http://cds.cern.ch/record/2623216
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author Nier, Francis
author_facet Nier, Francis
author_sort Nier, Francis
collection CERN
description This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher American Mathematical Society
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spelling cern-26232162021-04-21T18:47:19Zhttp://cds.cern.ch/record/2623216engNier, FrancisBoundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundariesMathematical Physics and MathematicsThis article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.American Mathematical Societyoai:cds.cern.ch:26232162018
spellingShingle Mathematical Physics and Mathematics
Nier, Francis
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title_full Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title_fullStr Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title_full_unstemmed Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title_short Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
title_sort boundary conditions and subelliptic estimates for geometric kramers-fokker-planck operators on manifolds with boundaries
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2623216
work_keys_str_mv AT nierfrancis boundaryconditionsandsubellipticestimatesforgeometrickramersfokkerplanckoperatorsonmanifoldswithboundaries