154 citations · 666 across the 66 of their papers we have counts for
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Non-existence of solutions for the periodic cubic NLS below
Zihua Guo, Tadahiro Oh
We prove non-existence of solutions for the cubic nonlinear Schrödinger equation (NLS) on the circle if initial data belong to for some…
A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces
Tadahiro Oh
In this note, we consider the ill-posedness issue for the cubic nonlinear Schrödinger equation. In particular, we prove norm inflation based at every initial condition in negative…
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle
Jaywan Chung, Zihua Guo, Soonsik Kwon +1
We consider the quadratic derivative nonlinear Schrödinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS.…
On invariant Gibbs measures for the generalized KdV equations
Tadahiro Oh, Geordie Richards, Laurent Thomann
We consider the defocusing generalized KdV equations on the circle. In particular, we construct global-in-time solutions with initial data distributed according to the Gibbs measur…
A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations
Tadahiro Oh, Laurent Thomann
We consider the defocusing nonlinear Schrödinger equations on the two-dimensional compact Riemannian manifold without boundary or a bounded domain in . Our aim is to give a p…
A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting
Tadahiro Oh, Oana Pocovnicu
In this note, we prove almost sure global well-posedness of the energy-critical defocusing nonlinear wave equation on , and , with random initial data…