Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

L. Angiuli, L. Lorenzi, A. Lunardi

We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in $I\times {\mathbb{R}}^d$, where $I$ is a right-halfline. We prove logarithmic Sobo…