Dirichlet problems with skew-symmetric drift terms
We prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form A E(x)∇u + div(u E(x)), with A > 0 and E in (Lr(Ω))N . The result is obtained using a nonlinear function of u as test function, in order to “cancel” this term.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::998e97787b8a35c07950366b95c2c05c |
| Acceso en línea: | https://hdl.handle.net/11441/185795 https://doi.org/10.5802/crmath.564 |
| Access Level: | acceso abierto |
| Palabra clave: | Singular drift Dirichlet problems nonlinear test functions |
| Sumario: | We prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form A E(x)∇u + div(u E(x)), with A > 0 and E in (Lr(Ω))N . The result is obtained using a nonlinear function of u as test function, in order to “cancel” this term. |
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