Regularity for anisotropic fully nonlinear integro-differential equations
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| 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/10316/44399 https://doi.org/10.1007/s00208-014-1050-6 |
Resumo: | We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior \(C^{1, \gamma }\) regularity, extending the results of Caffarelli and Silvestre (Comm Pure Appl Math 62:597–638, 2009) to the anisotropic case. |
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Regularity for anisotropic fully nonlinear integro-differential equationsWe consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior \(C^{1, \gamma }\) regularity, extending the results of Caffarelli and Silvestre (Comm Pure Appl Math 62:597–638, 2009) to the anisotropic case.Springer2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44399http://hdl.handle.net/10316/44399https://doi.org/10.1007/s00208-014-1050-6https://doi.org/10.1007/s00208-014-1050-6enghttps://doi.org/10.1007/s00208-014-1050-6Caffarelli, Luis A.Leitão, RaimundoUrbano, José Miguelinfo: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:RCAAP2021-06-29T10:02:50Zoai:estudogeral.uc.pt:10316/44399Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:22.973523Repositório 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 |
Regularity for anisotropic fully nonlinear integro-differential equations |
| title |
Regularity for anisotropic fully nonlinear integro-differential equations |
| spellingShingle |
Regularity for anisotropic fully nonlinear integro-differential equations Caffarelli, Luis A. |
| title_short |
Regularity for anisotropic fully nonlinear integro-differential equations |
| title_full |
Regularity for anisotropic fully nonlinear integro-differential equations |
| title_fullStr |
Regularity for anisotropic fully nonlinear integro-differential equations |
| title_full_unstemmed |
Regularity for anisotropic fully nonlinear integro-differential equations |
| title_sort |
Regularity for anisotropic fully nonlinear integro-differential equations |
| author |
Caffarelli, Luis A. |
| author_facet |
Caffarelli, Luis A. Leitão, Raimundo Urbano, José Miguel |
| author_role |
author |
| author2 |
Leitão, Raimundo Urbano, José Miguel |
| author2_role |
author author |
| dc.contributor.author.fl_str_mv |
Caffarelli, Luis A. Leitão, Raimundo Urbano, José Miguel |
| description |
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior \(C^{1, \gamma }\) regularity, extending the results of Caffarelli and Silvestre (Comm Pure Appl Math 62:597–638, 2009) to the anisotropic case. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10316/44399 http://hdl.handle.net/10316/44399 https://doi.org/10.1007/s00208-014-1050-6 https://doi.org/10.1007/s00208-014-1050-6 |
| url |
http://hdl.handle.net/10316/44399 https://doi.org/10.1007/s00208-014-1050-6 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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https://doi.org/10.1007/s00208-014-1050-6 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Springer |
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Springer |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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