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EnglishIn 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 |
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| 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 |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2830720
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