paper

On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure

arXiv:2410.00478 · doi:10.1016/j.jde.2025.02.001

Abstract

We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the -decay estimate for the small data solution and show that it decays faster than the free solution if the cubic nonlinearity has the suitable dissipative structure.

17 pages

On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure · wovepaper