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math.AP2023
Energy transfer and radiation in Hamiltonian nonlinear Klein-Gordon equations: general case
Zhen Lei, Jie Liu, Zhaojie Yang
In this paper, we consider Klein-Gordon equations with cubic nonlinearity in three spatial dimensions, which are Hamiltonian perturbations of the linear one with potential. It is a…
math.AP2022
Radiation of the energy-critical wave equation with compact support
Zhen Lei, Xiao Ren, Zhaojie Yang
We prove exterior energy lower bounds for (nonradial) solutions to the energy-critical nonlinear wave equation in space dimensions , with compactly supported initial…
math.AP2022
Energy transfer, weak resonance, and Fermi's golden rule in Hamiltonian nonlinear Klein-Gordon equations
Zhen Lei, Jie Liu, Zhaojie Yang
This paper focuses on a class of nonlinear Klein-Gordon equations in three dimensions, which are Hamiltonian perturbations of the linear Klein-Gordon equation with potential. The u…