Differential and Integral Equations

Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type

Satoshi Masaki and Koki Sugiyama

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Abstract

We consider the decay rate of solutions to nonlinear Klein-Gordon systems with a critical type nonlinearity. We will specify the optimal decay rate for a specific class of Klein-Gordon systems containing the dissipative nonlinearities. It will turn out that the decay rate which is previously found in some models is optimal.

Article information

Source
Differential Integral Equations, Volume 33, Number 5/6 (2020), 247-256.

Dates
First available in Project Euclid: 16 May 2020

Permanent link to this document
https://projecteuclid.org/euclid.die/1589594452

Mathematical Reviews number (MathSciNet)
MR4099216

Subjects
Primary: 35L71: Semilinear second-order hyperbolic equations 35B40: Asymptotic behavior of solutions

Citation

Masaki, Satoshi; Sugiyama, Koki. Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type. Differential Integral Equations 33 (2020), no. 5/6, 247--256. https://projecteuclid.org/euclid.die/1589594452


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