Preprint Global solvability of the Kirchhoff equation with Gevrey data

松山 登喜夫

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.

Number of accesses :  

Other information