| Abstract: |
| In this talk I will present some recent results obtained with Vladimir Maz`ya concerning
functional dissipativity of some partial differential operators.
This is a new concept of dissipativity which extends the notion of $L^p$-dissipativity.
It turns out that the class of operators whose principal part is strictly $L^p$-dissipative coincides with the class of the so-called
$p$-elliptic operators, which has recently been considered by several authors.
I will focus in particular on systems in which different notions of ellipticity arise. |
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