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| Página principal > Artículos > Artículos publicados > Gaussian estimates for fundamental solutions to certain parabolic systmes |
| Fecha: | 2004 |
| Resumen: | Auscher proved Gaussian upper bound estimates for the fundamental solutions to parabolic equations with complex coefficients in the case when coefficients are time-independent and a small perturbation of real coefficients. We prove the equivalence between the local boundedness property of solutions to a parabolic system and a Gaussian upper bound for its fundamental matrix. As a consequence, we extend Auscher's result to the time dependent case. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió publicada |
| Materia: | Gaussian estimates ; Fundamental solutions ; Parabolic systems ; A priori estimates |
| Publicado en: | Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 481-496, ISSN 2014-4350 |
