Fourth-order operators with unbounded coefficients in $L^1$ spaces

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A=-a(x{)}^2{\Delta }^2$, with suitable growth conditions on the coefficient $a(x)$, generate analytic semigroups in $L^1({\mathbb{R}}^N)$. In particular,…