On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥ 3
Á Bényi, T Oh, O Pocovnicu - … of the American Mathematical Society, Series …, 2015 - ams.org
We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) $:
i\partial _t u+\Delta u=\pm| u|^{2} u $ on $\mathbb {R}^ d $, $ d\geq 3$, with random initial …
i\partial _t u+\Delta u=\pm| u|^{2} u $ on $\mathbb {R}^ d $, $ d\geq 3$, with random initial …
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
T Oh, N Tzvetkov - Probability theory and related fields, 2017 - Springer
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
| Probability Theory and Related Fields Skip to main content SpringerLink Log in Menu Find a …
| Probability Theory and Related Fields Skip to main content SpringerLink Log in Menu Find a …
A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations
We consider the defocusing nonlinear Schrödinger equations on the two-dimensional
compact Riemannian manifold without boundary or a bounded domain in R^ 2 R 2. Our aim …
compact Riemannian manifold without boundary or a bounded domain in R^ 2 R 2. Our aim …
On invariant Gibbs measures for the generalized KdV equations
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 measure …
construct global-in-time solutions with initial data distributed according to the Gibbs measure …
On the Cameron–Martin theorem and almost-sure global existence
In this paper we discuss various aspects of invariant measures for nonlinear Hamiltonian
partial differential equations (PDEs). In particular, we show almost-sure global existence for …
partial differential equations (PDEs). In particular, we show almost-sure global existence for …
[PDF][PDF] Invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations
We consider the defocusing nonlinear Schrödinger equations on the twodimensional
compact Riemannian manifold without boundary or a bounded domain in R2. In particular …
compact Riemannian manifold without boundary or a bounded domain in R2. In particular …
On the probabilistic Cauchy theory of the cubic nonlinear Schr\"odinger equation on ,
Á Bényi, T Oh, O Pocovnicu - arXiv preprint arXiv:1405.7327, 2014 - arxiv.org
We consider the Cauchy problem of the cubic nonlinear Schr\" odinger equation (NLS) on
$\mathbb R^ d $, $ d\geq 3$, with random initial data and prove almost sure well-posedness …
$\mathbb R^ d $, $ d\geq 3$, with random initial data and prove almost sure well-posedness …