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math.DS2010
On the energy exchange between resonant modes in nonlinear Schrödinger equations
Benoit Grebert, Carlos Villegas-Blas
We consider the nonlinear Schrödinger equation and we prove that the solution of this equation, with small initial…
math.DS2005★ 1 cited
Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
Dario Bambusi, Jean-Marc Delort, Benoit Grebert +1
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension) with Hamiltonian nonlineari…