154 citations · 666 across the 66 of their papers we have counts for
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Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
Tadahiro Oh, Philippe Sosoe, Leonardo Tolomeo
We study an optimal mass threshold for normalizability of the Gibbs measures associated with the focusing mass-critical nonlinear Schrödinger equation on the one-dimensional torus.…
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider the cubic nonlinear Schrödinger equation (NLS) on with randomized initial data. In particular, we study an iterative approach based on a partial power se…
On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities
Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu
We consider the Cauchy problem for the nonlinear Schrödinger equations (NLS) with non-algebraic nonlinearities on the Euclidean space. In particular, we study the energy-critical N…
An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
Tadahiro Oh, Philippe Sosoe, Nikolay Tzvetkov
We study the transport properties of the Gaussian measures on Sobolev spaces under the dynamics of the cubic fourth order nonlinear Schrödinger equation on the circle. In particula…
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation
Tadahiro Oh, Nikolay Tzvetkov
We study the transport properties of the Gaussian measures on Sobolev spaces under the dynamics of the two-dimensional defocusing cubic nonlinear wave equation (NLW). Under some re…
Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations
Tadahiro Oh, Laurent Thomann
We consider the defocusing nonlinear wave equations (NLW) on the two-dimensional torus. In particular, we construct invariant Gibbs measures for the renormalized so-called Wick ord…