On weak solvability of boundary value problems for elliptic systems
This paper concerns with existence and uniqueness of a weak solution for elliptic systems of partial differential equations with mixed boundary conditions. The proof is based on establishing the coerciveness of bilinear forms, related with the system of equations, which depend on first-order derivat...
- Autores:
-
Ponce, Felipe
Lebedev, Leonid
Rendón, Leonardo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2013
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49343
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49343
http://bdigital.unal.edu.co/42800/
- Palabra clave:
- Solubilidad débil
problemas con valores en la frontera
ecuaciones elípticas
desigualdad tipo Korn
35J57
74G65
Weak solvability
Boundary value problems
Elliptic equations
Korn's type inequality
- 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_abf2Ponce, Felipef68d334b-d927-4344-aec8-3d3ff6a636c1300Lebedev, Leonidc9c313b7-768d-48a6-a8ca-c25685956172300Rendón, Leonardoc4e49803-d28a-4b62-a8b3-a30db7bf2dd83002019-06-29T08:36:42Z2019-06-29T08:36:42Z2013https://repositorio.unal.edu.co/handle/unal/49343http://bdigital.unal.edu.co/42800/This paper concerns with existence and uniqueness of a weak solution for elliptic systems of partial differential equations with mixed boundary conditions. The proof is based on establishing the coerciveness of bilinear forms, related with the system of equations, which depend on first-order derivatives of vector functions in Rn. The condition of coerciveness relates to Korn's type inequalities. The result is illustrated by an example of boundary value problems for a class of elliptic equations including the equations of linear elasticity.Este artículo trata sobre la existencia y unicidad de una solución débil para sistemas elípticos de ecuaciones diferenciales parciales con condiciones de frontera mixtas. La demostración se basa en la determinación de la coercividad de formas bilineales, relacionadas con el sistema de ecuaciones, las cuales dependen de las derivadas de primer orden de funciones vectoriales enRn. La condición de coercividad se relaciona con desigualdades tipo Korn. El resultado se ilustra mediante un ejemplo de problemas con valores en la frontera para una clase de ecuaciones elípticas, incluyendo las ecuaciones de elasticidad lineal.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45187Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 191-204 2357-4100 0034-7426Ponce, Felipe and Lebedev, Leonid and Rendón, Leonardo (2013) On weak solvability of boundary value problems for elliptic systems. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 191-204 2357-4100 0034-7426 .On weak solvability of boundary value problems for elliptic systemsArtículo 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/ARTSolubilidad débilproblemas con valores en la fronteraecuaciones elípticasdesigualdad tipo Korn35J5774G65Weak solvabilityBoundary value problemsElliptic equationsKorn's type inequalityORIGINAL45187-216930-1-SM.pdfapplication/pdf741962https://repositorio.unal.edu.co/bitstream/unal/49343/1/45187-216930-1-SM.pdf66bc454bdf7bcdabd79bc3d4cd826a6aMD5145187-216931-2-PB.htmltext/html6754https://repositorio.unal.edu.co/bitstream/unal/49343/2/45187-216931-2-PB.htmlb53ed831418f0ee564263881ea693a3bMD52THUMBNAIL45187-216930-1-SM.pdf.jpg45187-216930-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5559https://repositorio.unal.edu.co/bitstream/unal/49343/3/45187-216930-1-SM.pdf.jpg2ccab46f562a63ae0e645a36b4b2b5cbMD53unal/49343oai:repositorio.unal.edu.co:unal/493432023-12-09 23:05:58.816Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On weak solvability of boundary value problems for elliptic systems |
| title |
On weak solvability of boundary value problems for elliptic systems |
| spellingShingle |
On weak solvability of boundary value problems for elliptic systems Solubilidad débil problemas con valores en la frontera ecuaciones elípticas desigualdad tipo Korn 35J57 74G65 Weak solvability Boundary value problems Elliptic equations Korn's type inequality |
| title_short |
On weak solvability of boundary value problems for elliptic systems |
| title_full |
On weak solvability of boundary value problems for elliptic systems |
| title_fullStr |
On weak solvability of boundary value problems for elliptic systems |
| title_full_unstemmed |
On weak solvability of boundary value problems for elliptic systems |
| title_sort |
On weak solvability of boundary value problems for elliptic systems |
| dc.creator.fl_str_mv |
Ponce, Felipe Lebedev, Leonid Rendón, Leonardo |
| dc.contributor.author.spa.fl_str_mv |
Ponce, Felipe Lebedev, Leonid Rendón, Leonardo |
| dc.subject.proposal.spa.fl_str_mv |
Solubilidad débil problemas con valores en la frontera ecuaciones elípticas desigualdad tipo Korn 35J57 74G65 Weak solvability Boundary value problems Elliptic equations Korn's type inequality |
| topic |
Solubilidad débil problemas con valores en la frontera ecuaciones elípticas desigualdad tipo Korn 35J57 74G65 Weak solvability Boundary value problems Elliptic equations Korn's type inequality |
| description |
This paper concerns with existence and uniqueness of a weak solution for elliptic systems of partial differential equations with mixed boundary conditions. The proof is based on establishing the coerciveness of bilinear forms, related with the system of equations, which depend on first-order derivatives of vector functions in Rn. The condition of coerciveness relates to Korn's type inequalities. The result is illustrated by an example of boundary value problems for a class of elliptic equations including the equations of linear elasticity. |
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2013 |
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2013 |
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2019-06-29T08:36:42Z |
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2019-06-29T08:36:42Z |
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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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Text |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/49343 |
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http://bdigital.unal.edu.co/42800/ |
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https://repositorio.unal.edu.co/handle/unal/49343 http://bdigital.unal.edu.co/42800/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/45187 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 191-204 2357-4100 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Ponce, Felipe and Lebedev, Leonid and Rendón, Leonardo (2013) On weak solvability of boundary value problems for elliptic systems. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 191-204 2357-4100 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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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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