Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds

Shijie Dong

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arXiv · 2101.02927

Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds

Shijie Dong

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Abstract

We are interested in the Klein-Gordon-Zakharov equations in $\mathbb{R}^{1+3}$, and we aim to show that the energy for the global solution to the equations is uniformly bounded, and we do not require the compactness assumption on the initial data. To achieve these goals, the key is to apply Alinhac's ghost weight energy estimates adapted to the Klein-Gordon equations.

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Shijie Dong. 2021-01-08. Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds. https://arxiv.org/abs/2101.02927

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