3 papers
math.AP2025
On the energy decay estimates for the weak dissipative wave equations with oscillating coefficient
Fumihiko Hirosawa, Daichi Nakajima
It is known that the asymptotic behavior of time-dependent dissipative coefficient in the Cauchy problem of dissipative wave equation dominates the energy decay estimate. In partic…
math.AP2024
On the energy decay estimate for the dissipative wave equation with very fast oscillating coefficient and smooth initial data
Kazunori Goto, Fumihiko Hirosawa
In this paper we consider energy decay estimates for the Cauchy problems of dissipative wave equations with time dependent coefficients, in particular, the coefficients consisting…
math.AP2023
Global solvability for semi-discrete Kirchhoff equation
Fumihiko Hirosawa
In this paper, we consider the global solvability and energy conservation for initial value problem of nonlinear semi-discrete wave equation of Kirchhoff type, which is a discretiz…