A new result on backward uniqueness for parabolic operators

作者：Del Santo Daniele^*; Prizzi Martino

来源：Annali di Matematica Pura ed Applicata, 2015, 194(2): 387-403.

DOI：10.1007/s10231-013-0381-3

• Parabolic equations
• Backward uniqueness
• Bony's paramultiplication

Using Bony's paramultiplication, we improve a previous backward uniqueness result for parabolic operators having coefficients non-Lipschitz continuous with respect to t but C-2 with respect to x (see Del Santo and Prizzi in J. Math. Pures Appl. 84:471-491, 2005), showing that a similar result is valid when C-2 regularity in x is replaced by Lipschitz regularity in x.

• 出版日期2015-4