| Título: | Parabolic mean values and maximal estimates for gradients of temperatures |
| Autores: |
Hugo A. Aimar; IMAL-CONICET-UNL Ivana Gómez; IMAL-CONICET-UNL Bibiana Iaffei; IMAL-CONICET-UNL |
| Fecha: | 2007-03-06 |
| Publicador: | Cuadernos de Matemática y Mecánica |
| Fuente: |
 |
| Tipo: |
Articles |
| Tema: | No aplica |
| Descripción: | The main result of this paper is a pointwise estimate for the space time gradients of a temperature on a cylindrical domain in terms of an iteration of two maximal operators. The result is an extension to the parabolic setting of the elliptic inequalities proved by D.Jerison and C.Kenig and also by S.Dahlke and R.DeVore. After an improvement of the parabolic mean value formula and the analysis of the kernel and the operator that provides the space derivatives of temperatures, we obtain a pointwise estimate for space gradients weighted by powers of the distance to the parabolic boundary in terms of an iteration of two maximal operators which are well known in harmonic analysis: the one-sided maximal Hardy-Littlewood operator in the time variable and the Calderón maximal operator in the space variable. Published: Journal of Functional Analysis. Volume 255, Issue 8, 2008, Pages 1939-1956 Link: doi:10.1016/j.jfa.2008.06.006 |
| Idioma: | Inglés |
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