Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb{R}^3$

Tadahiro Oh, Oana Pocovnicu

Type: Preprint

Publication Date: 2015-02-02

Citations: 8

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	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 <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
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2015	Jonas Lührmann Dana Mendelson
+	A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting	2015	Tadahiro Oh Oana Pocovnicu
+	A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting	2015	Tadahiro Oh Oana Pocovnicu
+ PDF Chat	A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting	2017	Tadahiro Oh Oana Pocovnicu
+	Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb{R}^d$, $d=4$ and $5$	2014	Oana Pocovnicu
+	Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb{R}^d$, $d=4$ and $5$	2014	Oana Pocovnicu
+ PDF Chat	On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities	2019	Tadahiro Oh Mamoru Okamoto Oana Pocovnicu
+ PDF Chat	Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb R^d$, $d=4$ and $5$	2017	Oana Pocovnicu
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2016	Jonas Lührmann Dana Mendelson
+	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2017	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2017	Benjamin Dodson Jonas Lührmann Dana Mendelson
+	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 well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities	2017	Tadahiro Oh Mamoru Okamoto Oana Pocovnicu
+ PDF Chat	Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data	2020	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
+	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
+	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
+	Global well-posedness of the energy-critical stochastic nonlinear wave equations	2023	Enguerrand Brun Guopeng Li Ruoyuan Liu

Works That Cite This (8)

Action	Title	Year	Authors
+ PDF Chat	A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting	2017	Tadahiro Oh Oana Pocovnicu
+	Construction of $L^2$ log-log blowup solutions for the mass critical nonlinear Schrödinger equation	2023	Chenjie Fan Dana Mendelson
+ PDF Chat	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3	2015	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+	A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting	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	Almost Sure Local Well-Posedness for a Derivative Nonlinear Wave Equation	2020	Bjoern Bringmann
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2016	Jonas Lührmann Dana Mendelson
+	On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$	2015	Jonas Lührmann Dana Mendelson

Works Cited by This (22)

Action	Title	Year	Authors
+	Ill-posedness for nonlinear Schrodinger and wave equations	2003	Michael Christ J. Colliander Terence Tao
+ PDF Chat	Long time dynamics for the one dimensional non linear Schrödinger equation	2013	Nicolas Burq Laurent Thomann Nikolay Tzvetkov
+ PDF Chat	Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)	2012	J. Colliander Tadahiro Oh
+ PDF Chat	Random data Cauchy problem for supercritical Schrödinger equations	2009	Laurent Thomann
+	Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>	2014	Jonas Lührmann Dana Mendelson
+	The nonlinear Schrödinger equation with combined power-type nonlinearities	2005	Terence Tao Monica Vişan Xiaoyi Zhang
+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation	2008	Carlos E. Kenig Frank Merle
+	Regularity Results for Nonlinear Wave Equations	1993	Jalal Shatah Michaël Struwe
+	Regularity and Asymptotic Behavior of the Wave Equation with a Critical Nonlinearity	1990	Manoussos G. Grillakis