A new result on backward uniqueness for parabolic operators

Mathematics – Analysis of PDEs

Scientific paper

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20 pages

Scientific paper

Using Bony's paramultiplication we improve a result obtained in in a previous
paper for operators having coefficients non-Lipschitz-continuous with respect
to $t$ but ${\mathcal C}^2$ with respect to $x$, showing that the same result
is valid when ${\mathcal C}^2$ regularity is replaced by Lipschitz regularity
in $x$.

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