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
| Summary: | 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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