We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional
cubic wave equation, which is also known as the hyperbolic Φ 3 4-model. This result is the …

We consider the defocusing nonlinear Schr\" odinger equation on $\mathbb {T}^ 2$ with
Wick ordered power nonlinearity, and prove almost sure global well-posedness with respect …

Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity
II: Dynamics Page 1 © 2023 European Mathematical Society Published by EMS Press and …

We introduce a randomization of a function on ℝ d R^ d that is naturally associated to the
Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized …

Invariant Measures for Stochastic Nonlinear Schrödinger Equations | SpringerLink Skip to main
content Advertisement SpringerLink Account Menu Find a journal Publish with us Track your …

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 …

We consider the energy-critical defocusing nonlinear wave equation (NLW) on Rd, d= 4, 5.
We prove almost sure global existence and uniqueness for NLW with rough random initial …

We construct global solutions on a full measure set with respect to the Gibbs measure for the
one-dimensional cubic fractional nonlinear Schrödinger (FNLS) equation with weak …

On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs | SpringerLink Skip to
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(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can
not be displayed here. See the abstract in the paper.) We study convergence problems for …