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June, 2020 Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables
Yi Wang, Jie Rui
Taiwanese J. Math. 24(3): 629-661 (June, 2020). DOI: 10.11650/tjm/190702

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.

Citation

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Yi Wang. Jie Rui. "Quasi-periodic Solutions of Wave Equations with the Nonlinear Term Depending on the Time and Space Variables." Taiwanese J. Math. 24 (3) 629 - 661, June, 2020. https://doi.org/10.11650/tjm/190702

Information

Received: 8 August 2018; Revised: 28 May 2019; Accepted: 30 June 2019; Published: June, 2020
First available in Project Euclid: 19 May 2020

zbMATH: 07251190
MathSciNet: MR4100712
Digital Object Identifier: 10.11650/tjm/190702

Subjects:
Primary: 37K55, 70K40, 70K43, 70K45

Rights: Copyright © 2020 The Mathematical Society of the Republic of China

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Vol.24 • No. 3 • June, 2020
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