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math.AP2005★ 2 cited
Nonlinear Schrödinger equation on four-dimensional compact manifolds
P. Gérard, V. Pierfelice
We prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartre…
math.AP2004★ 7 cited
Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear SchrÖdinger Equations
N. Burq, P. Gerard, N. Tzvetkov
We study nonlinear Schrödinger equations, posed on a three dimensional Riemannian manifold . We prove global existence of strong solutions on and …