Riemann-Hilbert problems for monogenic functions in axially symmetric domains
Autor(a) principal: | |
---|---|
Data de Publicação: | 2016 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/15441 |
Resumo: | We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers. |
id |
RCAP_7b26ed9b1c2737cf43f4313a558c72ad |
---|---|
oai_identifier_str |
oai:ria.ua.pt:10773/15441 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Riemann-Hilbert problems for monogenic functions in axially symmetric domainsQuaternion analysisGeneralized Cauchy Riemann operatorAxial symmetryRiemann-Hilbert boundary value problemsVariable coefficientsWe consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers.SpringerOpen2016-04-13T11:45:02Z2016-01-25T00:00:00Z2016-01-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15441eng1687-277010.1186/s13661-016-0530-xHe, FuliKu, MinKähler, UweSommen, FrankBernstein, Swanhildinfo: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:RCAAP2024-02-22T11:28:30Zoai:ria.ua.pt:10773/15441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:46.509539Repositório 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 |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
title |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
spellingShingle |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains He, Fuli Quaternion analysis Generalized Cauchy Riemann operator Axial symmetry Riemann-Hilbert boundary value problems Variable coefficients |
title_short |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
title_full |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
title_fullStr |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
title_full_unstemmed |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
title_sort |
Riemann-Hilbert problems for monogenic functions in axially symmetric domains |
author |
He, Fuli |
author_facet |
He, Fuli Ku, Min Kähler, Uwe Sommen, Frank Bernstein, Swanhild |
author_role |
author |
author2 |
Ku, Min Kähler, Uwe Sommen, Frank Bernstein, Swanhild |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
He, Fuli Ku, Min Kähler, Uwe Sommen, Frank Bernstein, Swanhild |
dc.subject.por.fl_str_mv |
Quaternion analysis Generalized Cauchy Riemann operator Axial symmetry Riemann-Hilbert boundary value problems Variable coefficients |
topic |
Quaternion analysis Generalized Cauchy Riemann operator Axial symmetry Riemann-Hilbert boundary value problems Variable coefficients |
description |
We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains. This is done by constructing a method to reduce the RHBVPs for axially symmetric monogenic functions defined in four-dimensional axial symmetric domains into the RHBVPs for analytic functions defined over the complex plane. Then we derive solutions to the corresponding Schwarz problem. Finally, we generalize the results obtained to null-solutions of (D−α)ϕ=0, α∈R, where R denotes the field of real numbers. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-04-13T11:45:02Z 2016-01-25T00:00:00Z 2016-01-25 |
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/10773/15441 |
url |
http://hdl.handle.net/10773/15441 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1687-2770 10.1186/s13661-016-0530-x |
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 |
SpringerOpen |
publisher.none.fl_str_mv |
SpringerOpen |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799137557432238080 |