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| Home > Articles > Published articles > Gaussian estimates for fundamental solutions to certain parabolic systmes |
| Date: | 2004 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Gaussian estimates ; Fundamental solutions ; Parabolic systems ; A priori estimates |
| Published in: | Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 481-496, ISSN 2014-4350 |
