Abstract
We consider the long time behavior of solutions to the initial value problem for the ``complex-valued'' cubic nonlinear Klein-Gordon equation (NLKG) in one space dimension. In [12], Sunagawa derived the $L^{\infty}$ decay estimate of solutions to (NLKG). In this note, we obtain the large time asymptotic profile of solutions to (NLKG).
Acknowledgment
We thank the referee for careful reading of the manuscript and for fruitful suggestions. J.S was supported by JSPS KAKENHI Grant Number JP17H02851.
Citation
Jun-ichi SEGATA. "Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension." Hokkaido Math. J. 50 (2) 187 - 205, June 2021. https://doi.org/10.14492/hokmj/2018-938
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