![]() |
|||||||||||||||
![]() |
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Gaussian estimates for fundamental solutions to certain parabolic systmes |
Data: | 2004 |
Resum: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Gaussian estimates ; Fundamental solutions ; Parabolic systems ; A priori estimates |
Publicat a: | Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 481-496, ISSN 2014-4350 |
16 p, 156.7 KB |