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arXiv · 1211.3009

Global well-posedness of Kirchhoff systems

Tokio Matsuyama·Michael Ruzhansky
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Abstract

The aim of this paper is to establish the $H^1$ global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integrations for strictly hyperbolic systems with time-dependent coefficients. These integrations play an important role to setting the subsequent fixed point argument. The existence of solutions for less regular data is discussed, and several examples and applications are presented.

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Tokio Matsuyama, Michael Ruzhansky. 2012-11-13. Global well-posedness of Kirchhoff systems. https://doi.org/10.1016/j.matpur.2012.12.002

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