An elliptic problem in dimension N with a varying drift term bounded in LN
The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN (Ω), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobo...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| 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________::a1f197606693fa711140fd22c6c732e8 |
| Acceso en línea: | https://hdl.handle.net/11441/185732 https://doi.org/10.3233/ASY-241914 |
| Access Level: | acceso abierto |
| Palabra clave: | Asymptotic behavior elliptic problem drift term varying coefficients |
| Sumario: | The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN (Ω), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobolev space H10(Ω). However, because the operators are not coercive, there is no uniform estimate of the solutions in this space. We use some estimates in [2], and a regularization obtained by adding a small nonlinear first order term, to pass to the limit in these problems. |
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