May 2023 Nondecay of the energy for a system of semilinear wave equations
Yoshinori Nishii
Author Affiliations +
Kyoto J. Math. 63(2): 271-280 (May 2023). DOI: 10.1215/21562261-10428437

Abstract

We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large-time nondecay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.

Citation

Download Citation

Yoshinori Nishii. "Nondecay of the energy for a system of semilinear wave equations." Kyoto J. Math. 63 (2) 271 - 280, May 2023. https://doi.org/10.1215/21562261-10428437

Information

Received: 6 November 2020; Accepted: 24 May 2021; Published: May 2023
First available in Project Euclid: 30 January 2023

MathSciNet: MR4593204
zbMATH: 1514.35286
Digital Object Identifier: 10.1215/21562261-10428437

Subjects:
Primary: 35L71
Secondary: 35B40

Keywords: energy nondecay , Large time behavior , semilinear wave equation

Rights: Copyright © 2023 by Kyoto University

JOURNAL ARTICLE
10 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.63 • No. 2 • May 2023
Back to Top