Decay Estimates for a Klein–Gordon Model with Time-Periodic Coefficients
- Resource Type
- Authors
- Giovanni Girardi; Jens Wirth
- Source
- Springer INdAM Series ISBN: 9783030613457
- Subject
- symbols.namesake
Time periodic
Argument
Bounded function
symbols
Wave equation
Klein–Gordon equation
Term (time)
Mathematical physics
Mathematics
- Language
In this paper we consider a Klein–Gordon model with time-dependent periodic coefficients. The aim is to investigate how the presence of the mass term influences energy estimates with respect to the case of vanishing mass, already treated by J. Wirth (Hiroshima Math J 38:397–410, 2008). The approach is based on a diagonalisation argument for high frequencies and a contradiction argument for bounded frequencies.