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Existence and stability of quasi-periodic solutions for derivative wave equations
- 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
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Dynamical Systems
37K55, 35L05
Subjects
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