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