Taiwanese Journal of Mathematics

Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables

Abstract

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.

Article information

Source
Taiwanese J. Math., Advance publication (2019), 33 pages.

Dates
First available in Project Euclid: 12 July 2019

https://projecteuclid.org/euclid.twjm/1562896821

Digital Object Identifier
doi:10.11650/tjm/190702

Citation

Wang, Yi; Rui, Jie. Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables. Taiwanese J. Math., advance publication, 12 July 2019. doi:10.11650/tjm/190702. https://projecteuclid.org/euclid.twjm/1562896821

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