Maximum principle for the regularized Schrödinger operator

Detalhes bibliográficos
Autor(a) principal: KrauBhar, R. S.
Data de Publicação: 2016
Outros Autores: Rodrigues, M. M., Vieira, N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15109
Resumo: In this paper we present analogues of the maximum principle and of some parabolic inequalities for the regularized time-dependent Schrödinger operator on open manifolds using Günter derivatives. Moreover, we study the uniqueness of bounded solutions for the regularized Schrödinger-Günter problem and obtain the corresponding fundamental solution. Furthermore, we present a regularized Schrödinger kernel and prove some convergence results. Finally, we present an explicit construction for the fundamental solution to the Schrödinger-Günter problem on a class of conformally flat cylinders and tori.
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spelling Maximum principle for the regularized Schrödinger operatorClifford analysisTime dependent operatorsSchrödinger equationGünter derivativesBoundary problems on manifoldsIn this paper we present analogues of the maximum principle and of some parabolic inequalities for the regularized time-dependent Schrödinger operator on open manifolds using Günter derivatives. Moreover, we study the uniqueness of bounded solutions for the regularized Schrödinger-Günter problem and obtain the corresponding fundamental solution. Furthermore, we present a regularized Schrödinger kernel and prove some convergence results. Finally, we present an explicit construction for the fundamental solution to the Schrödinger-Günter problem on a class of conformally flat cylinders and tori.Springer International Publishing2018-07-20T14:00:51Z2016-02-01T00:00:00Z2016-022017-01-31T12:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15109eng1422-638310.1007/s00025-015-0474-yKrauBhar, R. S.Rodrigues, M. M.Vieira, N.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:27:52Zoai:ria.ua.pt:10773/15109Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:31.966552Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Maximum principle for the regularized Schrödinger operator
title Maximum principle for the regularized Schrödinger operator
spellingShingle Maximum principle for the regularized Schrödinger operator
KrauBhar, R. S.
Clifford analysis
Time dependent operators
Schrödinger equation
Günter derivatives
Boundary problems on manifolds
title_short Maximum principle for the regularized Schrödinger operator
title_full Maximum principle for the regularized Schrödinger operator
title_fullStr Maximum principle for the regularized Schrödinger operator
title_full_unstemmed Maximum principle for the regularized Schrödinger operator
title_sort Maximum principle for the regularized Schrödinger operator
author KrauBhar, R. S.
author_facet KrauBhar, R. S.
Rodrigues, M. M.
Vieira, N.
author_role author
author2 Rodrigues, M. M.
Vieira, N.
author2_role author
author
dc.contributor.author.fl_str_mv KrauBhar, R. S.
Rodrigues, M. M.
Vieira, N.
dc.subject.por.fl_str_mv Clifford analysis
Time dependent operators
Schrödinger equation
Günter derivatives
Boundary problems on manifolds
topic Clifford analysis
Time dependent operators
Schrödinger equation
Günter derivatives
Boundary problems on manifolds
description In this paper we present analogues of the maximum principle and of some parabolic inequalities for the regularized time-dependent Schrödinger operator on open manifolds using Günter derivatives. Moreover, we study the uniqueness of bounded solutions for the regularized Schrödinger-Günter problem and obtain the corresponding fundamental solution. Furthermore, we present a regularized Schrödinger kernel and prove some convergence results. Finally, we present an explicit construction for the fundamental solution to the Schrödinger-Günter problem on a class of conformally flat cylinders and tori.
publishDate 2016
dc.date.none.fl_str_mv 2016-02-01T00:00:00Z
2016-02
2017-01-31T12:00:00Z
2018-07-20T14:00:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/15109
url http://hdl.handle.net/10773/15109
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1422-6383
10.1007/s00025-015-0474-y
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer International Publishing
publisher.none.fl_str_mv Springer International Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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