今後のセミナーの予定
Schedules of future seminars
● 2025 年 6 月 27 日 (Fri) 16:00 〜 17:00
- 講演者
- 津田谷 公利 氏 （弘前大学）
Kimitoshi Tsutaya (Hirosaki University)
- 講演題目
- Global existence of solutions of time derivative nonlinear wave equations with time-dependent propagation speed
- 講演要旨
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Consider the Cauchy problem for the time derivative nonlinear wave equations with time-dependent propagation speed and damping which are generalized versions of the wave equations in the Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime.
We first show the global existence by providing an integrability condition on the propagation speed function, which is applicable to the nonlinear wave equation in the expanding FLRW spacetime including the de Sitter spacetime.
We also prove finite-time blow-up for the generalized form of the equation in contracting universes such as the anti-de Sitter spacetime.
This talk is based on a joint work with Yuta Wakasugi (Hiroshima University).
