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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 2014 · math.APShow all

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math.AP2014★ 5 cited

Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on

Rowan Killip, Tadahiro Oh, Oana Pocovnicu +1

We consider the cubic-quintic nonlinear Schrödinger equation: \[ i\partial_t u = -Δu - |u|^2u + |u|^4u. \] In the first part of the paper, we analyze the one-parameter family of gr…

math.AP2014

On nonlinear Schrödinger equations with almost periodic initial data

Tadahiro Oh

We consider the Cauchy problem of nonlinear Schrödinger equations (NLS) with almost periodic functions as initial data. We first prove that, given a frequency set $\pmbω =\{ω_j\}_{…

math.AP2014★ 15 cited

On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ,

Árpád Bényi, Tadahiro Oh, Oana Pocovnicu

We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) on , , with random initial data and prove almost sure well-posedness results…

math.AP2014

On Cameron-Martin Theorem and almost sure global existence

Tadahiro Oh, Jeremy Quastel

In this note, we discuss various aspects of invariant measures for nonlinear Hamiltonian PDEs. In particular, we show almost sure global existence for some Hamiltonian PDEs with in…