Some new results on almost periodic solutions for dispersive PDEs on the circle

Abstract: Existence of almost periodic solutions for evolution PDEs is a very interesting problem, with a lot of open questions. Most of the literature is on the construction of very regular solutions for semilinear PDEs (mainly the NLS) with external parameters. I shall discuss two new results: 1. existence of solutions for a quasi-linear forced Airy equation, 2. existence of finite regularity solutions for the traslation invariant NLS equation.

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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