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Growth estimates for semigroups generated by \(2\times 2\) operator matrices

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Publication:1178516
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DOI10.1007/BF03323185zbMath0767.47018MaRDI QIDQ1178516

Klaus-Jochen Engel

Publication date: 26 June 1992

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

growth bound of the associated matrix generatorsecond order Cauchy problemsemigroups generated by \(2\times 2\) operator matrices


Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)


Related Items

Diagonals of positive semigroups



Cites Work

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  • Semigroups of linear operators and applications to partial differential equations
  • One-parameter semigroups of positive operators
  • Polynomial operator matrices as semigroup generators: The \(2\times 2\) case
  • Towards a ``Matrix theory for unbounded operator matrices
  • On singular perturbations of second order Cauchy problems
  • Integrated semigroups and their application to complete second order Cauchy problems
  • Polynomial operator matrices as generators: The general case
  • Cauchy Problems for Polynomial Operator Matrices on Abstract Energy Spaces
  • Well-Posedness of Higher Order Abstract Cauchy Problems
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