On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces
We prove that the initial value problem associated to a perturbation of the Benjamin-Ono equation or Chen-Lee equation ut + uux + βHuxx + (Hux - uxx) = 0, where x ∈ T, t 0, η 0 and H denotes the usual Hilbert transform, is locally and globally well-posed in the Sobolev spaces Hs(T) for any s - ½. We...
- Autores:
-
Pastrán, Ricardo
Riaño, Oscar
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66454
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66454
http://bdigital.unal.edu.co/67482/
- Palabra clave:
- 51 Matemáticas / Mathematics
Cauchy problem
local and global well-posedness
Benjamin-Ono equation
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Pastrán, Ricardo91c00b45-0b5b-4e59-8cc5-845a9896e579300Riaño, Oscar33158e93-696f-4645-9a8f-692dd2c0ed883002019-07-03T02:09:31Z2019-07-03T02:09:31Z2016-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66454http://bdigital.unal.edu.co/67482/We prove that the initial value problem associated to a perturbation of the Benjamin-Ono equation or Chen-Lee equation ut + uux + βHuxx + (Hux - uxx) = 0, where x ∈ T, t 0, η 0 and H denotes the usual Hilbert transform, is locally and globally well-posed in the Sobolev spaces Hs(T) for any s - ½. We also prove some ill-posedness issues when s -1.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62187Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasPastrán, Ricardo and Riaño, Oscar (2016) On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces. Revista Colombiana de Matemáticas, 50 (1). pp. 55-73. ISSN 2357-410051 Matemáticas / MathematicsCauchy problemlocal and global well-posednessBenjamin-Ono equationOn the well-posedness for the Chen-Lee equation in periodic Sobolev spacesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62187-316170-1-SM.pdfapplication/pdf479442https://repositorio.unal.edu.co/bitstream/unal/66454/1/62187-316170-1-SM.pdfb8bfcf7117cf8457c5f3adb2591d3772MD51THUMBNAIL62187-316170-1-SM.pdf.jpg62187-316170-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4965https://repositorio.unal.edu.co/bitstream/unal/66454/2/62187-316170-1-SM.pdf.jpg469f681e2ff7852ca08be108173dd99fMD52unal/66454oai:repositorio.unal.edu.co:unal/664542023-05-25 23:02:46.217Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| title |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| spellingShingle |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces 51 Matemáticas / Mathematics Cauchy problem local and global well-posedness Benjamin-Ono equation |
| title_short |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| title_full |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| title_fullStr |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| title_full_unstemmed |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| title_sort |
On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces |
| dc.creator.fl_str_mv |
Pastrán, Ricardo Riaño, Oscar |
| dc.contributor.author.spa.fl_str_mv |
Pastrán, Ricardo Riaño, Oscar |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Cauchy problem local and global well-posedness Benjamin-Ono equation |
| dc.subject.proposal.spa.fl_str_mv |
Cauchy problem local and global well-posedness Benjamin-Ono equation |
| description |
We prove that the initial value problem associated to a perturbation of the Benjamin-Ono equation or Chen-Lee equation ut + uux + βHuxx + (Hux - uxx) = 0, where x ∈ T, t 0, η 0 and H denotes the usual Hilbert transform, is locally and globally well-posed in the Sobolev spaces Hs(T) for any s - ½. We also prove some ill-posedness issues when s -1. |
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2016 |
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2016-01-01 |
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2019-07-03T02:09:31Z |
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2019-07-03T02:09:31Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/66454 |
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http://bdigital.unal.edu.co/67482/ |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/66454 http://bdigital.unal.edu.co/67482/ |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/recolma/article/view/62187 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.references.spa.fl_str_mv |
Pastrán, Ricardo and Riaño, Oscar (2016) On the well-posedness for the Chen-Lee equation in periodic Sobolev spaces. Revista Colombiana de Matemáticas, 50 (1). pp. 55-73. ISSN 2357-4100 |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
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Universidad Nacional de Colombia |
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