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Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without...
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Lenguaje: | eng |
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Springer
1999
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Acceso en línea: | https://dx.doi.org/10.1007/BFb0103045 http://cds.cern.ch/record/1691568 |
_version_ | 1780935781764825088 |
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author | Eberle, Andreas |
author_facet | Eberle, Andreas |
author_sort | Eberle, Andreas |
collection | CERN |
description | This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts. |
id | cern-1691568 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1999 |
publisher | Springer |
record_format | invenio |
spelling | cern-16915682021-04-21T21:08:52Zdoi:10.1007/BFb0103045http://cds.cern.ch/record/1691568engEberle, AndreasUniqueness and non-uniqueness of semigroups generated by singular diffusion operatorsMathematical Physics and MathematicsThis book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts.Springeroai:cds.cern.ch:16915681999 |
spellingShingle | Mathematical Physics and Mathematics Eberle, Andreas Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title | Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title_full | Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title_fullStr | Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title_full_unstemmed | Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title_short | Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
title_sort | uniqueness and non-uniqueness of semigroups generated by singular diffusion operators |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/BFb0103045 http://cds.cern.ch/record/1691568 |
work_keys_str_mv | AT eberleandreas uniquenessandnonuniquenessofsemigroupsgeneratedbysingulardiffusionoperators |