Research on spectral structure of dissipative operators and super composition of dissipative systems

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We mainly did a mathematical research on the wave propagation problem with a weak dissipative (frictional) effect of appearing to physics and engineering. The research was done by using a characteristic frequency of the phenomenon that is called a spectrum. We obtained the following as main results. Concerning acoustic wave propagation in media of weak dissipative effect, we decided the spectral structure and the behavior of waves of the passage of time. Similar results were obtained concerning the reflection phenomenon when electron is entered into atom. We also decided the shape of waves when elastic waves of a half space (for example, seismic waves) is observed at far.