最終更新日: 2009年4月15日
日時: | 5 月 16 日(土) 15:30 〜 17:00 |
場所: | 愛媛大学理学部数学棟2階 大演習室 |
講師: | Christiane Bohme 氏 (TU Bergakademie Freiberg) |
題目: | Energy estimates for Klein-Gordon type models with oscillations |
要旨: | The aim of this talk is to present some energy estimates for Klein-Gordon equations with time-dependent mass. In dependence on the conditions on the mass term some results of generalized energy conservation and blow-up behavior of the energy for large times will be discussed. The starting point are statements about generalized energy conservation for a scale-invariant model case. Based on these results the influence of oscillations in interplay with a decreasing term will be investigated. Conclusively, there will follow some remarks about scattering results for Klein-Gordon equations with variable mass, i.e., the behavior of the energy is in some sense similar to the behavior of the energy of the free wave equation for large times. |
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