Elliptic equations in non-smooth plane domains with an application to a parabolic problem
Fabrizio Colombo, Davide Guidetti, Alfredo Lorenzi · Advances in Differential Equations · 2002
In this paper we study elliptic boundary-value problems in bounded non-smooth plane domains and prove a generation result concerning analytic semigroups of linear bounded operators in space of continuous functions. Then we apply such a generation result for bounded non-smooth plane domains to a parabolic integro-differential equation.