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2006 An approximating family for the Dirichlet-to-Neumann semigroup
Hassan Emamirad, Idriss Laadnani
Adv. Differential Equations 11(3): 241-257 (2006).

Abstract

In this paper we prove that the Dirichlet-to-Neumann semigroup $S(t)$ is an analytic compact Markov irreducible semigroup in $C(\partial \Omega)$ in any bounded smooth domain $\Omega$. By a generalization of the Lax semigroup, we construct an approximating family for $S(t)$. We prove some regularizing characters and compactness of this family. By using the ergodic properties of $S(t)$, we deduce its asymptotic behavior. At the end we conjecture some open problems.

Citation

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Hassan Emamirad. Idriss Laadnani. "An approximating family for the Dirichlet-to-Neumann semigroup." Adv. Differential Equations 11 (3) 241 - 257, 2006.

Information

Published: 2006
First available in Project Euclid: 18 December 2012

zbMATH: 1112.47032
MathSciNet: MR2221482

Subjects:
Primary: 47D06
Secondary: 35P25, 47A40

Rights: Copyright © 2006 Khayyam Publishing, Inc.

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Vol.11 • No. 3 • 2006
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