Academic Journal
Conditional stability for backward parabolic equations with LogLip_txLip_x-coefficients
| العنوان: | Conditional stability for backward parabolic equations with LogLip_txLip_x-coefficients |
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| المؤلفون: | DEL SANTO, DANIELE, PRIZZI, Martino, Christian, Jäh |
| المساهمون: | DEL SANTO, Daniele, Christian, Jäh, Prizzi, Martino |
| سنة النشر: | 2015 |
| المجموعة: | Università degli studi di Trieste: ArTS (Archivio della ricerca di Trieste) |
| مصطلحات موضوعية: | Conditional stability, Backward-parabolic equation, Low regularity coefficient, Weighted energy estimate, Bony’s paraproduct |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | ELETTRONICO |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000355735700008; issue:121; firstpage:101; lastpage:122; numberofpages:22; journal:NONLINEAR ANALYSIS; http://hdl.handle.net/11368/2830720; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84941419838; http://www.sciencedirect.com/science/article/pii/S0362546X14004106# |
| DOI: | 10.1016/j.na.2014.12.013 |
| الاتاحة: | http://hdl.handle.net/11368/2830720 https://doi.org/10.1016/j.na.2014.12.013 http://www.sciencedirect.com/science/article/pii/S0362546X14004106# |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.45A5D784 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.na.2014.12.013 |
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