Fourth-order operators with unbounded coefficients

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A=-a(x{)}^2{\Delta }^2$, with $|Da(x)|\le ca(x{)}^{\frac{1}{2}}$, generate analytic semigroups in $L^p({\mathbb{R}}^N)$ for $1<p\le \infty$ and in $C_b(\m…