Lack of generation of strongly continuous semigroups by the damped wave operator on \(H\times H\) (or: The little engine that couldn't)

DOI10.1016/0893-9659(93)90074-WzbMath0792.47049OpenAlexW2071345823MaRDI QIDQ1324488

A. V. Balakrishnan, Roberto Triggiani

Publication date: 25 July 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90074-w

zbMATH Keywords

unbounded casea wave operator does not generate a strongly continuous semigroup on the product space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05)

Related Items (3)

Robust stabilizing compensators for flexible structures with collocated controls ⋮ Mathematical effects of linear visco-elasticity in quasi-static Biot models ⋮ Remarks on the convergence of pseudospectra

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
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• Vector-valued Laplace transforms and Cauchy problems
• Regularity of some structurally damped problems with point control and with boundary control
• Numerical Approximations of Algebraic Riccati Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications
• A Dirichlet Boundary Control Problem for the Strongly Damped Wave Equation
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½

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