On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure
Analysis of PDEs
2025-02-11 v1
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.
Cite
@article{arxiv.2410.00478,
title = {On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure},
author = {Yoshinori Nishii},
journal= {arXiv preprint arXiv:2410.00478},
year = {2025}
}
Comments
17 pages