Asymptotic profiles for the Kirchhoff equation
TOKIO MATSUYAMATokai University, Kanagawa, Japan
The first aim of this paper is to find asymptotic profiles for Kirchhoff equation. More precisely, it will be shown that there exists a small amplitude solution which is not asymptotically free. The second aim is to prove the existence of scattering states for the small amplitude solutions with data belonging to , where , and .
Cite this article
TOKIO MATSUYAMA, Asymptotic profiles for the Kirchhoff equation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 4, pp. 377–395DOI 10.4171/RLM/475