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Global Carleman estimates for degenerate parabolic operators with applications

Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conce...

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Detalles Bibliográficos
Autores principales: Cannarsa, P, Martinez, P, Vancostenoble, J
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Acceso en línea:http://cds.cern.ch/record/2622893
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author Cannarsa, P
Martinez, P
Vancostenoble, J
author_facet Cannarsa, P
Martinez, P
Vancostenoble, J
author_sort Cannarsa, P
collection CERN
description Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2016
publisher American Mathematical Society
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spelling cern-26228932021-04-21T18:48:14Zhttp://cds.cern.ch/record/2622893engCannarsa, PMartinez, PVancostenoble, JGlobal Carleman estimates for degenerate parabolic operators with applicationsMathematical Physics and MathematicsDegenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.American Mathematical Societyoai:cds.cern.ch:26228932016
spellingShingle Mathematical Physics and Mathematics
Cannarsa, P
Martinez, P
Vancostenoble, J
Global Carleman estimates for degenerate parabolic operators with applications
title Global Carleman estimates for degenerate parabolic operators with applications
title_full Global Carleman estimates for degenerate parabolic operators with applications
title_fullStr Global Carleman estimates for degenerate parabolic operators with applications
title_full_unstemmed Global Carleman estimates for degenerate parabolic operators with applications
title_short Global Carleman estimates for degenerate parabolic operators with applications
title_sort global carleman estimates for degenerate parabolic operators with applications
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2622893
work_keys_str_mv AT cannarsap globalcarlemanestimatesfordegenerateparabolicoperatorswithapplications
AT martinezp globalcarlemanestimatesfordegenerateparabolicoperatorswithapplications
AT vancostenoblej globalcarlemanestimatesfordegenerateparabolicoperatorswithapplications