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A spectral mapping theorem for polynomial operator matrices

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Publication:809329
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zbMath0733.47006MaRDI QIDQ809329

Klaus-Jochen Engel

Publication date: 1989

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

strongly continuous semigroupsstability theoryspectral mapping theoremoperator matrixSystems of linear evolution equations


Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10)


Related Items

Polynomial operator matrices as semigroup generators: The \(2\times 2\) case, Operator matrices and reaction-diffusion systems, Polynomial operator matrices as generators: The general case



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