Probabilistic well-posedness of generalized KdV
From MaRDI portal
Publication:4590983
DOI10.1090/proc/13718zbMath1391.35341OpenAlexW2592073597MaRDI QIDQ4590983
Gyeongha Hwang, Chulkwang Kwak
Publication date: 21 November 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/13718
Related Items (3)
Convergence problem of Ostrovsky equation with rough data and random data ⋮ Probabilistic well-posedness of the mass-critical NLS with radial data below \(L^2(\mathbb{R}^d)\) ⋮ Probabilistic local wellposedness of 1D quintic NLS below \(L^2(\mathbb{R})\)
Cites Work
- Unnamed Item
- Unnamed Item
- Invariance of the Gibbs measure for the periodic quartic gKdV
- On invariant Gibbs measures for the generalized KdV equations
- Well-posedness for the supercritical gKdV equation
- Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
- Bilinear local smoothing estimate for Airy equation.
- Global rough solutions to the critical generalized KdV equation
- Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity
- Random data Cauchy theory for the generalized incompressible Navier-Stokes equations
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Random data Cauchy problem for supercritical Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Periodic nonlinear Schrödinger equation and invariant measures
- Invariant measures for the Gross-Pitaevskii equation
- Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation
- Two-dimensional nonlinear Schrödinger equation with random radial data
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- The supercritical generalized KdV equation: global well-posedness in the energy space and below
- Probabilistic well-posedness for the cubic wave equation
- Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball. II: the 3D case
- Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Remarks on Nonlinear Smoothing under Randomization for the Periodic KdV and the Cubic Szegö Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations
- Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)
This page was built for publication: Probabilistic well-posedness of generalized KdV
