Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data
Analysis of PDEs
2025-11-20 v1
Abstract
We consider the Cauchy problem of coupled 3-D wave and Klein-Gordon equations with a quadratic form of nonlinearity. We show global existence under several conditions, including large derivative data for wave equations and the null conditions.
Keywords
Cite
@article{arxiv.2511.15234,
title = {Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data},
author = {Guocong Shang},
journal= {arXiv preprint arXiv:2511.15234},
year = {2025}
}