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arXiv · 2410.00478

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

Yoshinori Nishii
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Abstract

We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the $L^p$-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.

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Yoshinori Nishii. 2024-10-01. On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure. https://doi.org/10.1016/j.jde.2025.02.001

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