Analyticity of the propagators of second order linear differential equations in Banach spaces

DOI10.1007/BF02574355zbMath0782.47041MaRDI QIDQ1186843

Jin Liang, Tijun Xio

Publication date: 28 June 1992

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135159

zbMATH Keywords

Cauchy problemanalytic semigroupabstract differential equationanalyticity of the propagators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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Existence results for some damped second-order Volterra integro-differential equations, Entire solutions of higher order abstract Cauchy problems, Semigroups arising from elastic systems with dissipation, Semigroups arising from elastic systems with dissipation, Analyticity of the sine family with \(L^p\)-maximal regularity for second order Cauchy problems, A characterization of norm continuity of propagators for second order abstract differential equations, Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces

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