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Global solvability of the Kirchhoff equation with Gevrey data MATSUYAMA, Tokio 23339 Ruzhansky, Michael 23347 Kirchhoff equation Gevrey spaces exterior problem application/pdf This paper is devoted to proving the global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space \\gamma^{\\infty}_{L^2} . More precise results are derived for solutions in the s-Gevrey classes \\gamma^{s}_{L^2} . Furthermore, similar results are obtained for the initial-boundary value problems in bounded domains and in exterior domains with compact boundary. other 中央大学理工学部数学科 2015-08-24 AO application/pdf 数学科プレプリントシリーズ 112 PREPRINT SERIES https://chuo-u.repo.nii.ac.jp/record/1093/files/MATH_preprint~112.pdf https://chuo-u.repo.nii.ac.jp/records/1093 eng この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。