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arXiv 2014-10-07 DOI 10.1007/978-3-319-12148-2_5 0 views

Global well-posedness of the Kirchhoff equation and Kirchhoff systems

Matsuyama, Tokio · Ruzhansky, Michael

Original · EN

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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