A new result on backward uniqueness for parabolic operators

Verfasser / Beitragende:
[Daniele Del Santo, Martino Prizzi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/2(2015-04-01), 387-403
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10231-013-0381-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-013-0381-3 
245 0 2 |a A new result on backward uniqueness for parabolic operators  |h [Elektronische Daten]  |c [Daniele Del Santo, Martino Prizzi] 
520 3 |a Using Bony's paramultiplication, we improve a previous backward uniqueness result for parabolic operators having coefficients non-Lipschitz continuous with respect to $$t$$ t but $${\mathcal {C}}^2$$ C 2 with respect to $$x$$ x (see Del Santo and Prizzi in J. Math. Pures Appl. 84:471-491, 2005), showing that a similar result is valid when $${\mathcal {C}}^2$$ C 2 regularity in $$x$$ x is replaced by Lipschitz regularity in $$x$$ x . 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Parabolic equations  |2 nationallicence 
690 7 |a Backward uniqueness  |2 nationallicence 
690 7 |a Bony's paramultiplication  |2 nationallicence 
700 1 |a Del Santo  |D Daniele  |u Dipartimento di Matematica e Geoscienze, Università di Trieste, Via A.Valerio 12/1, 34127, Trieste, Italy  |4 aut 
700 1 |a Prizzi  |D Martino  |u Dipartimento di Matematica e Geoscienze, Università di Trieste, Via A.Valerio 12/1, 34127, Trieste, Italy  |4 aut 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/2(2015-04-01), 387-403  |x 0373-3114  |q 194:2<387  |1 2015  |2 194  |o 10231 
856 4 0 |u https://doi.org/10.1007/s10231-013-0381-3  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10231-013-0381-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Del Santo  |D Daniele  |u Dipartimento di Matematica e Geoscienze, Università di Trieste, Via A.Valerio 12/1, 34127, Trieste, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Prizzi  |D Martino  |u Dipartimento di Matematica e Geoscienze, Università di Trieste, Via A.Valerio 12/1, 34127, Trieste, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/2(2015-04-01), 387-403  |x 0373-3114  |q 194:2<387  |1 2015  |2 194  |o 10231