Back to Search Start Over

Existence and stability of quasi-periodic solutions for derivative wave equations

Authors :
Berti, Massimiliano
Biasco, Luca
Procesi, Michela
Source :
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., Volume 24, Issue 2 (2013) pp. 199-214
Publication Year :
2012

Abstract

In this note we present a new KAM result which proves the existence of Cantor families of small amplitude, analytic, quasi-periodic solutions of derivative wave equations, with zero Lyapunov exponents and whose linearized equation is reducible to constant coefficients. In turn, this result is derived by an abstract KAM theorem for infinite dimensional reversible dynamical systems.<br />Comment: 13 pages

Details

Database :
arXiv
Journal :
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., Volume 24, Issue 2 (2013) pp. 199-214
Publication Type :
Report
Accession number :
edsarx.1209.5419
Document Type :
Working Paper
Full Text :
https://doi.org/10.4171/RLM/652