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On Spectrum and Riesz basis property for one-dimensional wave equation with Boltzmann damping

On Spectrum and Riesz basis property for one-dimensional wave equation with Boltzmann damping

In this paper, we study the one-dimensional wave equation with Boltzmann damping. Two different Boltzmann integrals that represent the memory of materials are considered. The spectral properties for both cases are thoroughly analyzed. It is found that when the memory of system is counted from the infinity, the spectrum of …