The rate at which energy decays in a damped String
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Publication:4288037
DOI10.1080/03605309408821015zbMath0818.35072OpenAlexW2005925413MaRDI QIDQ4288037
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Publication date: 12 May 1994
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://purl.umn.edu/2412
Initial-boundary value problems for second-order hyperbolic equations (35L20) Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Spectrum, resolvent (47A10)
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Cites Work
- On the spectrum of evolution operators generated by hyperbolic systems
- The two phase drum with the deepest bass note
- Linear autonomous neutral functional differential equations
- Qualitative behavior of dissipative wave equations on bounded domains
- On some mathematical principles in the linear theory of damped oscillations of continua I
- An Asymptotic Average Decay Rate for the Wave Equation with Variable Coefficient Viscous Damping
- Unnamed Item
- Unnamed Item
- Unnamed Item