On the Gevrey well-posedness of the Kirchhoff equation

Published 21 Aug 2015 in math.AP | (1508.05305v3)

Abstract: This paper is devoted to proving the almost global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space $\gamma^{s_{\eta,L^2}$.} Furthermore, similar results are obtained for the initial-boundary value problems in bounded domains and in exterior domains with compact boundary.

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