The energy space and norm growth for abstract wave equations

DOI10.1016/S0893-9659(03)00080-6zbMath1043.35121MaRDI QIDQ1431882

Jerome A. Goldstein, Markus Wacker

Publication date: 11 June 2004

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

zbMATH Keywords

polynomial growthlinear growth

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Groups and semigroups of linear operators (47D03) Abstract hyperbolic equations (35L90)

Related Items

One Class of Linearly Growing C_0-Groups, Abstract wave equations and associated Dirac-type operators, Remarks on the linear wave equation, Sharp growth rates for semigroups using resolvent bounds, Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors, Multiwave tomography with reflectors: Landweber's iteration, The damped string problem revisited, Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

Cites Work

• Perturbation theory for linear operators.
• One-Parameter Semigroups for Linear Evolution Equations
• What Does the Spectral Theorem Say?
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