Seokchang Hong, Younghun Hong
Published 2022-08-24Version 1
In this paper, developing a new approach based on Fourier analysis methods for dispersive PDEs, we establish a low regularity NLS approximation for the one-dimensional cubic Klein-Gordon equation. Our main result includes energy class solutions which are formally asymptotically in $L^2(\mathbb{R})$. A precise rate of convergence is also obtained assuming more regularity.
Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation
A Sufficient Condition for Blowup of the Nonlinear Klein-Gordon Equation with Positive Initial Energy in FLRW Spacetimes
Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, II
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