2002 Elliptic equations in non-smooth plane domains with an application to a parabolic problem
Fabrizio Colombo, Davide Guidetti, Alfredo Lorenzi
Adv. Differential Equations 7(6): 695-716 (2002). DOI: 10.57262/ade/1356651734

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.

Citation

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Fabrizio Colombo. Davide Guidetti. Alfredo Lorenzi. "Elliptic equations in non-smooth plane domains with an application to a parabolic problem." Adv. Differential Equations 7 (6) 695 - 716, 2002. https://doi.org/10.57262/ade/1356651734

Information

Published: 2002
First available in Project Euclid: 27 December 2012

zbMATH: 1092.35027
MathSciNet: MR1894863
Digital Object Identifier: 10.57262/ade/1356651734

Subjects:
Primary: 35J25
Secondary: 34G10 , 35K10 , 45K05 , 47D06

Rights: Copyright © 2002 Khayyam Publishing, Inc.

Vol.7 • No. 6 • 2002
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