Quasi-periodic Solutions for Nonlinear Klein-Gordon Equations

Quasi-periodic Solutions for Nonlinear Klein-Gordon Equations

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Wei-Min Wang, IAS
Fine Hall 1001

We construct time quasi-periodic solutions to the nonlinear Klein-Gordon equations on the torus in arbitrary dimensions. This generalizes the method developed in the limit-elliptic setting to the hyperelliptic one, by using in addition, a Diophantine property of algebraic numbers. It presents a general direct approach to second-order in time equations.