2 papers
math.AP2022
On the wave-like energy estimates of Klein-Gordon type equations with time dependent potential
Kazunori Goto, Fumihiko Hirosawa
We consider the conditions for the time dependent potential in which the energy of the Cauchy problem of Klein-Gordon type equation asymptotically behaves like the energy of the wa…
math.AP2020
On the energy estimates of semi-discrete wave equations with time dependent propagation speed
Fumihiko Hirosawa
Discretization is a fundamental step in numerical analysis for the problems described by differential equations, and the difference between the continuous model and discrete model…