1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2026
Long-time asymptotics of (1,3)-sign solitary waves for the damped nonlinear Klein-Gordon equation
Kenjiro Ishizuka
We consider the damped nonlinear Klein-Gordon equation: \begin{align*} \partial_{t}^2u-Δu+2α\partial_{t}u+u-|u|^{p-1}u=0, \ & (t,x) \in \mathbb{R} \times \mathbb{R}^d, \end{align*}…
math.AP2025
Long-time asymptotics of 3-solitary waves for the damped nonlinear Klein-Gordon equation
Kenjiro Ishizuka
We consider the damped nonlinear Klein-Gordon equation: \begin{align*} \partial_{t}^2u-Δu+2α\partial_{t}u+u-|u|^{p-1}u=0, \ & (t,x) \in \mathbb{R} \times \mathbb{R}^d, \end{align*}…
math.AP2024★ 1 cited
Long-time asymptotics of the damped nonlinear Klein-Gordon equation with a delta potential
Kenjiro Ishizuka
We consider the damped nonlinear Klein-Gordon equation with a delta potential \begin{align*} \partial_{t}^2u-\partial_{x}^2u+2α\partial_{t}u+u-γδ_0u-|u|^{p-1}u=0, \ & (t,x) \in \ma…