An abstract transmission problem in a thin layer, I: Sharp estimates

DOI10.1016/j.jfa.2011.05.021zbMath1231.34103OpenAlexW1992601831MaRDI QIDQ639514

Rabah Labbas, Keddour Lemrabet, Giovanni Dore, Angelo Favini

Publication date: 22 September 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.05.021

zbMATH Keywords

sectorial operatorabstract differential equationelliptic problemtransmission problemUMD Banach space\(H^{\infty }\) functional calculusadmittance operatorimpedance operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Linear differential equations in abstract spaces (34G10) Linear boundary value problems for ordinary differential equations (34B05)

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