Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909913436913664 |
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| author | Shang, Guocong |
| author_facet | Shang, Guocong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data Shang, Guocong Analysis of PDEs 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. |
| title | Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.15234 |