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arXiv · 1410.1945

Global well-posedness of the Kirchhoff equation and Kirchhoff systems

Tokio Matsuyama·Michael Ruzhansky
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Abstract

This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be obtained for the initial-boundary value problems in exterior domains with compact boundary. Also, the known results on large data problems will be reviewed together with open problems.

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Tokio Matsuyama, Michael Ruzhansky. 2014-10-07. Global well-posedness of the Kirchhoff equation and Kirchhoff systems. https://doi.org/10.1007/978-3-319-12148-2_5

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