On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise
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Publication:2216701
DOI10.1215/21562261-2019-0060zbMath1454.35349arXiv1805.08412OpenAlexW3089599212MaRDI QIDQ2216701
Tadahiro Oh, Oana Pocovnicu, Yu-Zhao Wang
Publication date: 16 December 2020
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08412
White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
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- Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- Existence of solutions for Schrödinger evolution equations
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Smoothing properties and retarded estimates for some dispersive evolution equations
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- An \(L^p\)-theory for almost sure local well-posedness of the nonlinear Schrödinger equations
- Almost sure local well-posedness for the supercritical quintic NLS
- A remark on norm inflation for nonlinear Schrödinger equations
- Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- Stochastic nonlinear Schrödinger equations on tori
- On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities
- 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
- Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Endpoint Strichartz estimates
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces
- The Stochastic Nonlinear Schrödinger Equation inH1
- Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data
- Stochastic Equations in Infinite Dimensions
- On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Tauberian theorems
- Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)
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