Stabilization of the statistical solution of the parabolic equation

We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hy...

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Autores:
Tipo de recurso:
Fecha de publicación:
1991
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/26028
Acceso en línea:
https://doi.org/10.1007/BF00047653
https://repository.urosario.edu.co/handle/10336/26028
Palabra clave:
Statistical solution
Convergence of probability measures
Central limit theorem
Parabolic equation
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Restringido (Acceso a grupos específicos)
id EDOCUR2_b2ac70711b1a50ba053545094b45cfe5
oai_identifier_str oai:repository.urosario.edu.co:10336/26028
network_acronym_str EDOCUR2
network_name_str Repositorio EdocUR - U. Rosario
repository_id_str
spelling 9900af24-844b-4712-b9ef-3ed71c35a63c-179b2854f-d916-443d-85fb-4cef1d31a923-159580602-5b24-42d8-b968-57666ff4f37b-12020-08-06T16:20:29Z2020-08-06T16:20:29Z1991-01-01We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1–4].application/pdfhttps://doi.org/10.1007/BF00047653ISSN?: ?1572-9036EISSN: 0167-8019https://repository.urosario.edu.co/handle/10336/26028engSpringer Nature115103Acta Applicandae MathematicaeVol. 22Acta Applicandae Mathematicae, ISSN?: ?1572-9036;EISSN: 0167-8019, Vol.22 (January, 1991); pp.103-115https://link.springer.com/article/10.1007/BF00047653Restringido (Acceso a grupos específicos)http://purl.org/coar/access_right/c_16ecActa Applicandae Mathematicaeinstname:Universidad del Rosarioreponame:Repositorio Institucional EdocURStatistical solutionConvergence of probability measuresCentral limit theoremParabolic equationStabilization of the statistical solution of the parabolic equationEstabilización de la solución estadística de la ecuación parabólica.articleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501Ratanov, N.E.Shuhov, A.G.Suhov, Y.M10336/26028oai:repository.urosario.edu.co:10336/260282021-06-03 00:50:24.221https://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
dc.title.spa.fl_str_mv Stabilization of the statistical solution of the parabolic equation
dc.title.TranslatedTitle.spa.fl_str_mv Estabilización de la solución estadística de la ecuación parabólica.
title Stabilization of the statistical solution of the parabolic equation
spellingShingle Stabilization of the statistical solution of the parabolic equation
Statistical solution
Convergence of probability measures
Central limit theorem
Parabolic equation
title_short Stabilization of the statistical solution of the parabolic equation
title_full Stabilization of the statistical solution of the parabolic equation
title_fullStr Stabilization of the statistical solution of the parabolic equation
title_full_unstemmed Stabilization of the statistical solution of the parabolic equation
title_sort Stabilization of the statistical solution of the parabolic equation
dc.subject.keyword.spa.fl_str_mv Statistical solution
Convergence of probability measures
Central limit theorem
Parabolic equation
topic Statistical solution
Convergence of probability measures
Central limit theorem
Parabolic equation
description We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1–4].
publishDate 1991
dc.date.created.spa.fl_str_mv 1991-01-01
dc.date.accessioned.none.fl_str_mv 2020-08-06T16:20:29Z
dc.date.available.none.fl_str_mv 2020-08-06T16:20:29Z
dc.type.eng.fl_str_mv article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.spa.spa.fl_str_mv Artículo
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/BF00047653
dc.identifier.issn.none.fl_str_mv ISSN?: ?1572-9036
EISSN: 0167-8019
dc.identifier.uri.none.fl_str_mv https://repository.urosario.edu.co/handle/10336/26028
url https://doi.org/10.1007/BF00047653
https://repository.urosario.edu.co/handle/10336/26028
identifier_str_mv ISSN?: ?1572-9036
EISSN: 0167-8019
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationEndPage.none.fl_str_mv 115
dc.relation.citationStartPage.none.fl_str_mv 103
dc.relation.citationTitle.none.fl_str_mv Acta Applicandae Mathematicae
dc.relation.citationVolume.none.fl_str_mv Vol. 22
dc.relation.ispartof.spa.fl_str_mv Acta Applicandae Mathematicae, ISSN?: ?1572-9036;EISSN: 0167-8019, Vol.22 (January, 1991); pp.103-115
dc.relation.uri.spa.fl_str_mv https://link.springer.com/article/10.1007/BF00047653
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.rights.acceso.spa.fl_str_mv Restringido (Acceso a grupos específicos)
rights_invalid_str_mv Restringido (Acceso a grupos específicos)
http://purl.org/coar/access_right/c_16ec
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Springer Nature
dc.source.spa.fl_str_mv Acta Applicandae Mathematicae
institution Universidad del Rosario
dc.source.instname.none.fl_str_mv instname:Universidad del Rosario
dc.source.reponame.none.fl_str_mv reponame:Repositorio Institucional EdocUR
repository.name.fl_str_mv Repositorio institucional EdocUR
repository.mail.fl_str_mv edocur@urosario.edu.co
_version_ 1814167593123053568

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