Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities (Q2926246)
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scientific article; zbMATH DE number 6363045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities |
scientific article; zbMATH DE number 6363045 |
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Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities (English)
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31 October 2014
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local and global well-posedness
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system of Korteweg-de Vries type equations
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pointwise estimates
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This paper deals with the local and global well-posedness for an initial value problem involving a coupled system of Korteweg-de Vries type equations with quadratic nonlinearities. Persistence of regularity is established. Explicit results for correction terms, that yield a functional whose time derivative is controlled in a certain manner, along with pointwise estimates for the relevant functional are obtained to conclude the main result relating to the global well-posedness for the initial value problem.
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