Open AccessQuasi-periodic solutions of PDEs
Author(s) -
Massimiliano Berti
Publication year - 2014
Publication title -
séminaire laurent schwartz — edp et applications
Language(s) - English
Resource type - Journals
ISSN - 2266-0607
DOI - 10.5802/slsedp.24
Subject(s) - mathematical proof , mathematics , periodic wave , nonlinear system , derivative (finance) , function (biology) , mathematical analysis , traveling wave , physics , geometry , quantum mechanics , evolutionary biology , financial economics , economics , biology
The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in T, d ≥ 2, and the 1-d derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.
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