KAM for Reversible Derivative Wave Equations

By Massimiliano Berti, Luca Biasco, Michela Procesi. 2012

113 citations recorded by the source corpus.

We prove the existence of Cantor families of small amplitude, analytic, linearly stable quasi-periodic solutions of reversible derivative wave equations.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/87a06c80e5f20fc97c862cba71be656ab70c4d24

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Riccardo Montalto
2. Pierre Baldi
3. E. Haus
4. Massimiliano Berti

In Mathematical Physics

1. Riccardo Montalto
2. Massimiliano Berti
3. Pierre Baldi
4. E. Haus
5. Michela Procesi
6. C. Procesi
7. P. Bolle
8. Ivar Ekeland

In Statistical and Nonlinear Physics

1. Riccardo Montalto
2. Pierre Baldi
3. Massimiliano Berti
4. E. Haus
5. Michela Procesi
6. P. Bolle
7. R. Feola
8. Filippo Giuliani

Citations in the corpus

• Time quasi-periodic gravity water waves in finite depth (2017, methodology): “the nonlinearity contains derivatives) has been first proved by Kuksin [44] and Kappeler-Pöschel [42] for KdV, then by Liu-Yuan [48], Zhang-Gao-Yuan [63] for derivative NLS, and by Berti-Biasco-Procesi [13]-[14] for derivative NLW.”