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Analysis Seminar

Spectral analysis of the linearized equation of adiabatic stellar oscillations (ELASO)


  • Date : 2025/09/23 (Tue.) 10:00~13:00
  • Location : online
  • Speaker : Tetu Makino (Yamaguchi University)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : The generator L of the linearized evolution equation of adiabatic oscillations of a gaseous star, ELASO, is a second order integro-differential operator and is realized as a self-adjoint operator in the Hilbert space of square integrable unknown functions with weight, which is the density distribution of the compactly supported background. Eigenvalues and eigenfunctions of the operator L have been investigated in practical point of view of eigenmode expansion of oscillations. But it should be examined whether continuous spectra are absent in the spectrum of L or not. In order to discuss this question, the existence of essential spectra in a closely related evolution problem is established.
    ArXiv:2504.00284

Click here to register: https://forms.gle/EhVyNa94MDEhQkqF9 (Deadline: 4pm, Sep. 22)
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Resolving dependencies...