On the Gevrey well-posedness of the Kirchhoff equation

Abstract

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

arXiv commentRevised version to replace previous ones

References in corpus (4)

• Global well-posedness of the Kirchhoff equation and Kirchhoff systems
• Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
• Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness
• A necessary and sufficient condition on scattering for the regularly hyperbolic systems