Abstract
We prove that for small initial data there exist unique global solutions to a certain special class of nonlinear Klein-Gordon equations with cubic nonlinearity in one space dimension, which asymptotically approach the free solution of the linear Klein-Gordon equation as $t \to + \infty$.
Citation
Kazunori Moriyama. "Normal forms and global existence of solutions to a class of cubic nonlinear Klein-Gordon equations in one space dimension." Differential Integral Equations 10 (3) 499 - 520, 1997. https://doi.org/10.57262/die/1367525665
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