@misc{oai:chuo-u.repo.nii.ac.jp:00012471,
 author = {Matsuyama, Tokio},
 month = {Jul},
 note = {application/pdf, The aim of this paper is to prove the global existence of solutions for the Kirchhoff equation without any smallness condition on data both in Sobolev spaces and in Gevrey ones. The approach to the construction of global solutions is to obtain absolute integrability of time-derivative of the coefficient of the principal term. The key of the proof is a uniform energy estimate in a suitable Sobolev space for global in time analytic solutions. This estimate yields the boundedness of solutions in Sobolev norm at the life span. The global existence of low regular solutions is also proved.},
 title = {Global well-posedness of the Kirchhoff equation},
 year = {2020}
}