On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu

Type: Preprint

Publication Date: 2017-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1708.01568

View Publication

Locations

arXiv (Cornell University) - View - PDF
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities	2019	Tadahiro Oh Mamoru Okamoto Oana Pocovnicu
+	On the probabilistic well-posedness of the nonlinear Schr\"{o}dinger equations with non-algebraic nonlinearities	2017	Tadahiro Oh Mamoru Okamoto Oana Pocovnicu
+	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb R^d$, $d \geq 3$	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+	Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb{R}^3$	2015	Tadahiro Oh Oana Pocovnicu
+	Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb{R}^3$	2015	Tadahiro Oh Oana Pocovnicu
+	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb R^d$, $d \geq 3$	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+ PDF Chat	Global well-posedness of the energy-critical stochastic nonlinear Schr\"odinger equation on the three-dimensional torus	2024	Guopeng Li Mamoru Okamoto Liying Tao
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schr\"odinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Almost sure global well posedness of the defocusing energy-critical wave equation with a Cubic Convolution	2023	Liying Tao Tengfei Zhao
+ PDF Chat	Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation	2021	Van Duong Dinh
+	Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data	2021	Martin Spitz
+ PDF Chat	On the stochastic nonlinear Schrödinger equations at critical regularities	2020	Tadahiro Oh Mamoru Okamoto
+	Almost Sure Scattering of the Energy Critical NLS in $d>6$	2022	Katie Marsden
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2015	Jonas Lührmann Dana Mendelson
+ PDF Chat	Almost sure scattering of the energy-critical NLS in $ d&gt;6 $	2023	Katie Marsden
+	Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on $\mathbb{R}$: general $L^2$ data	2018	Chenjie Fan Weijun Xu
+	Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on $\mathbb{R}$: general $L^2$ data	2018	Chenjie Fan Weijun Xu
+	Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation	2021	Jia Shen Avy Soffer Yifei Wu
+	Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Tadahiro Oh Oana Pocovnicu

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	The Role of Metrics in the Theory of Partial Differential Equations	2020
+	Almost sure existence of global solutions for supercritical semilinear wave equations	2020	Mickaël Latocca
+ PDF Chat	On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise	2020	Tadahiro Oh Oana Pocovnicu Yuzhao Wang

Works Cited by This (0)

Action	Title	Year	Authors