Resumen de Lp-estimates for a class of elliptic operators with unbounded coefficients in RN

Giorgio Metafune, Diego Pallara, Vincenzo Vespri

• We consider second-order elliptic partial differential operators defined in RN, with the coefficients of the second-order terms bounded and continuously differentiable, with bounded derivatives, and globally Lipschitz continuous but possibly unbounded coefficients of the first-order terms. We prove a-priori estimates in Lp spaces, and deduce a characterisation of the domain under which these opersators are generators of strongly continuous semigroups.