Moment bounds for some fractional stochastic heat equations on the ball

In this paper, we obtain upper and lower bounds for the moments of the solution to a class of fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in time and has a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise ca...

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Detalhes bibliográficos
Autor: Nualart, Eulàlia
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10230/44850
Acesso em linha:http://hdl.handle.net/10230/44850
http://dx.doi.org/10.1214/18-ECP147
Access Level:acceso abierto
Palavra-chave:Stochastic heat equation
Fractional Laplacian
Dirichlet boundary conditions
Heat kernel estimates
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spelling Moment bounds for some fractional stochastic heat equations on the ballNualart, EulàliaStochastic heat equationFractional LaplacianDirichlet boundary conditionsHeat kernel estimatesIn this paper, we obtain upper and lower bounds for the moments of the solution to a class of fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in time and has a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise case on an interval.Research supported in part by the European Union programme FP7-PEOPLE-2012-CIG under grant agreement 333938.The Institute of Mathematical Statistics and the Bernoulli Society202020202018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/44850http://dx.doi.org/10.1214/18-ECP147reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésElectronic Communications in Probability. 2018;23(41):1-12info:eu-repo/grantAgreement/EC/FP7/333938Copyright for all articles in EJP is CC BY 4.0.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:10230/448502026-05-29T05:05:01Z
dc.title.none.fl_str_mv Moment bounds for some fractional stochastic heat equations on the ball
title Moment bounds for some fractional stochastic heat equations on the ball
spellingShingle Moment bounds for some fractional stochastic heat equations on the ball
Nualart, Eulàlia
Stochastic heat equation
Fractional Laplacian
Dirichlet boundary conditions
Heat kernel estimates
title_short Moment bounds for some fractional stochastic heat equations on the ball
title_full Moment bounds for some fractional stochastic heat equations on the ball
title_fullStr Moment bounds for some fractional stochastic heat equations on the ball
title_full_unstemmed Moment bounds for some fractional stochastic heat equations on the ball
title_sort Moment bounds for some fractional stochastic heat equations on the ball
dc.creator.none.fl_str_mv Nualart, Eulàlia
author Nualart, Eulàlia
author_facet Nualart, Eulàlia
author_role author
dc.subject.none.fl_str_mv Stochastic heat equation
Fractional Laplacian
Dirichlet boundary conditions
Heat kernel estimates
topic Stochastic heat equation
Fractional Laplacian
Dirichlet boundary conditions
Heat kernel estimates
description In this paper, we obtain upper and lower bounds for the moments of the solution to a class of fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in time and has a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise case on an interval.
publishDate 2018
dc.date.none.fl_str_mv 2018
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10230/44850
http://dx.doi.org/10.1214/18-ECP147
url http://hdl.handle.net/10230/44850
http://dx.doi.org/10.1214/18-ECP147
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Electronic Communications in Probability. 2018;23(41):1-12
info:eu-repo/grantAgreement/EC/FP7/333938
dc.rights.none.fl_str_mv Copyright for all articles in EJP is CC BY 4.0.
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright for all articles in EJP is CC BY 4.0.
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv The Institute of Mathematical Statistics and the Bernoulli Society
publisher.none.fl_str_mv The Institute of Mathematical Statistics and the Bernoulli Society
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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