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The Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One‐Dimension Klein‐Gordon‐Zakharov Equations

Cong Sun and Lixia Li

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: Through applying Galerkin method, we establish the approximating solution for one‐dimension Klein‐Gordon‐Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein‐Gordon‐Zakharov equations.

Date: 2018
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https://doi.org/10.1155/2018/4820601

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