Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 24, Number 3 (2020), 629-661.
Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables
This article is devoted to the study of a wave equation with a constant potential and an $x$-periodic and $t$-quasi-periodic nonlinear term subject to periodic boundary conditions. It is proved that the equation admits small amplitude, linear stable and $t$-quasi-periodic solutions for any constant potential and most frequency vectors.
Taiwanese J. Math., Volume 24, Number 3 (2020), 629-661.
Received: 8 August 2018
Revised: 28 May 2019
Accepted: 30 June 2019
First available in Project Euclid: 19 May 2020
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Digital Object Identifier
Wang, Yi; Rui, Jie. Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables. Taiwanese J. Math. 24 (2020), no. 3, 629--661. doi:10.11650/tjm/190702. https://projecteuclid.org/euclid.twjm/1589875222