An Lp Theory of Invariant Manifolds for Parabolic Partial Differential Equations on Rd

Invariant Manifolds for a Class of Dispe

Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations

✍ Claude-Alain Pillet; C.Eugene Wayne 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 255 KB

We construct an invariant manifold of periodic orbits for a class of non-linear Schro dinger equations. Using standard ideas of the theory of center manifolds, we rederive the results of Soffer and Weinstein (Comm. Math. Phys. 133, 119 146 (1997); J. Differential Equations 98, 376 390 (1992)) on the