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.
Elliptic equations in non-smooth plane domains with an application to a parabolic problem / F. Colombo, D. Guidetti, A. Lorenzi. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 7:6(2002), pp. 695-716.
Elliptic equations in non-smooth plane domains with an application to a parabolic problem
A. LorenziUltimo
2002
Abstract
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.
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