九州関数方程式セミナー 平成21年度前期講演

日時 6月12日(金) 14:50--15:50
講師 Christiane Bohme 氏 (TU Bergakademie Freiberg)
題目 Energy estimates for Klein-Gordon type models with time-dependent potential
概要 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.