In this work we present an improvement of Del Santo and Prizzi (2009), where the authors proved a result concerning continuous dependence for backward-parabolic operators whose coefficients are Log-Lipschitz in tt and C^2 in x. In that paper, the C^2 regularity with respect to x had to be assumed for technical reasons: here we remove this assumption, replacing it with Lipschitz-continuity. The main tools in the proof are Littlewood–Paley theory and Bony’s paraproduct.
Titolo: | Conditional stability for backward parabolic equations with LogLip_txLip_x-coefficients | |
Autori: | ||
Data di pubblicazione: | 2015 | |
Rivista: | ||
Abstract: | In this work we present an improvement of Del Santo and Prizzi (2009), where the authors proved a result concerning continuous dependence for backward-parabolic operators whose coefficients are Log-Lipschitz in tt and C^2 in x. In that paper, the C^2 regularity with respect to x had to be assumed for technical reasons: here we remove this assumption, replacing it with Lipschitz-continuity. The main tools in the proof are Littlewood–Paley theory and Bony’s paraproduct. | |
Handle: | http://hdl.handle.net/11368/2830720 | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.na.2014.12.013 | |
URL: | http://www.sciencedirect.com/science/article/pii/S0362546X14004106# | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
ds-j-pr.pdf | online first article | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
conditional stability.pdf | pdf editoriale | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
2830720_conditional stability-PostPrint.pdf | Post Print VQR3 | Bozza finale post-referaggio (post-print) | Digital Rights Management non definito | Open Access Visualizza/Apri |
2830720_ds-j-pr-PostPrint.pdf | Post Print VQR3 | N/A | Digital Rights Management non definito | Open Access Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.