The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd (Q1576805)
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scientific article; zbMATH DE number 1492555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd |
scientific article; zbMATH DE number 1492555 |
Statements
The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd (English)
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16 August 2000
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We show the existence and fully characterize a class of dissipative perturbances of the linear wave equation for which the spectrum of the associated linear operator has Hamiltonian symmetry and the energy of finite-energy solutions neither decays to zero nor grows to infinity, but instead oscillates and remains bounded for all time.
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solutions with oscillating energy
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dissipative perturbances of the linear wave equation
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