most citedNonlinear wave interactions for the Benjamin-Ono equation

43 citations · 50 across the 3 of their papers we have counts for

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math.AP2004★ 43 cited

Nonlinear wave interactions for the Benjamin-Ono equation

Herbert Koch, Nikolay Tzvetkov

We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-…

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 …