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

• Autores: Giorgio Metafune, Diego Pallara, Vincenzo Vespri
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 2, 2005, págs. 605-620
• Idioma: inglés
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• Resumen

  • 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.