Artículo
Durán, R.G.; Sanmartino, M.; Toschi, M. "Weighted a priori estimates for the poisson equation" (2008) Indiana University Mathematics Journal. 57(7):3463-3478
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Abstract:
Let Ω be a bounded domain in (ℝn with ∂Ω ∈ C2 and let u be a solution of the classical Poisson problem in Ω; i.e., (Equation Presented) where f ∈ Lω p, (Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate (Equation Presented) and to give some applications for weights given by powers of the distance to the boundary.
Registro:
| Documento: | Artículo |
| Título: | Weighted a priori estimates for the poisson equation |
| Autor: | Durán, R.G.; Sanmartino, M.; Toschi, M. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de la Plata, 1900 La Plata (Buenos Aires), Argentina |
| Palabras clave: | Calderón-Zygmund theory; Green function; Poisson equation; Weighted sobolev spaces |
| Año: | 2008 |
| Volumen: | 57 |
| Número: | 7 |
| Página de inicio: | 3463 |
| Página de fin: | 3478 |
| DOI: | http://dx.doi.org/10.1512/iumj.2008.57.3427 |
| Título revista: | Indiana University Mathematics Journal |
| Título revista abreviado: | Indiana Univ. Math. J. |
| ISSN: | 00222518 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v57_n7_p3463_Duran |
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Citas:
---------- APA ----------
Durán, R.G., Sanmartino, M. & Toschi, M. (2008) . Weighted a priori estimates for the poisson equation. Indiana University Mathematics Journal, 57(7), 3463-3478.http://dx.doi.org/10.1512/iumj.2008.57.3427
---------- CHICAGO ----------
Durán, R.G., Sanmartino, M., Toschi, M. "Weighted a priori estimates for the poisson equation" . Indiana University Mathematics Journal 57, no. 7 (2008) : 3463-3478.http://dx.doi.org/10.1512/iumj.2008.57.3427
---------- MLA ----------
Durán, R.G., Sanmartino, M., Toschi, M. "Weighted a priori estimates for the poisson equation" . Indiana University Mathematics Journal, vol. 57, no. 7, 2008, pp. 3463-3478.http://dx.doi.org/10.1512/iumj.2008.57.3427
---------- VANCOUVER ----------
Durán, R.G., Sanmartino, M., Toschi, M. Weighted a priori estimates for the poisson equation. Indiana Univ. Math. J. 2008;57(7):3463-3478.http://dx.doi.org/10.1512/iumj.2008.57.3427
