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20092026
most citedAlmost sure well-posedness of the cubic nonlinear Schrödinger equation below L^2(T)

154 citations · 666 across the 66 of their papers we have counts for

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Showing 2011Show all

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math.AP2011

Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions

Rowan Killip, Tadahiro Oh, Oana Pocovnicu +1

We consider the Gross--Pitaevskii equation on and the cubic-quintic nonlinear Schrödinger equation (NLS) on with non-vanishing boundary conditions at spatial infinity…

math.AP2011★ 4 cited

Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

Zihua Guo, Soonsik Kwon, Tadahiro Oh

We implement an infinite iteration scheme of Poincare-Dulac normal form reductions to establish an energy estimate on the one-dimensional cubic nonlinear Schrodinger equation (NLS)…