Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation

Benjamin Dodson

Type: Preprint

Publication Date: 2018-01-01

Citations: 11

DOI: https://doi.org/10.48550/arxiv.1809.08284

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space	2021	Benjamin Dodson
+	On the Defocusing Cubic Nonlinear Wave Equation on $\mathbb{H}^3$ with Radial Initial Data in $H^{\frac{1}{2}+δ} \times H^{-\frac{1}{2}+δ}$	2023	Chutian Ma
+ PDF Chat	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data	2018	Benjamin Dodson
+	Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data	2007	Tristan Roy
+	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space	2016	Benjamin Dodson
+	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space	2016	Benjamin Dodson
+	Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$	2015	Benjamin Dodson
+	Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$	2015	Benjamin Dodson
+ PDF Chat	Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space	2021	Benjamin Dodson
+	Global well-posedness for the radial, defocusing, nonlinear wave equation for $3 < p < 5$	2018	Benjamin Dodson
+ PDF Chat	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space	2018	Benjamin Dodson
+	Global well-posedness for the defocusing, cubic nonlinear Schr{ö}dinger equation with initial data in a critical space	2020	Benjamin Dodson
+	Global well-posedness for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space	2020	Benjamin Dodson
+	Sharp Global well-posedness and scattering for the radial conformal nonlinear wave equation	2023	Benjamin Dodson
+	Global well-posedness for the radial, defocusing, nonlinear wave equation for 3 < p < 5	2024	Benjamin Dodson
+	Global well-posedness for the radial, defocusing, nonlinear wave equation for $3 < p < 5$	2018	Benjamin Dodson
+	Global Well-Posedness for the Defocusing, Cubic, Nonlinear Wave Equation in Three Dimensions for Radial Initial Data in .<i>H</i> <i>s</i> × .<i>H</i> <i>s</i>-1, <i>s</i>&gt; 1/2	2018	Benjamin Dodson
+	Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition	2012	Benjamin Dodson
+	Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data	2007	Tristan Roy
+	Global well-posedness and scattering for defocusing, cubic NLS in $\mathbb{R}^3$	2011	Qingtang Su

Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Numerical simulations for the energy-supercritical nonlinear wave equation	2020	Jason Murphy Yanzhi Zhang
+ PDF Chat	Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space	2024	Benjamin Dodson
+	Almost sure scattering for the energy-critical nonlinear wave equation	2019	Bjoern Bringmann
+ PDF Chat	On the global behaviors for defocusing semilinear wave equations in ℝ1+2	2022	Dongyi Wei Shiwu Yang
+	Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation	2020	Ruipeng Shen
+ PDF Chat	Scattering for defocusing energy subcritical nonlinear wave equations	2020	Benjamin Dodson Andrew Lawrie Dana Mendelson Jason Murphy
+ PDF Chat	A Sharp Lorentz-Invariant Strichartz Norm Expansion for the Cubic Wave Equation in ℝ1+3	2020	Giuseppe Negro
+ PDF Chat	Global behaviors of defocusing semilinear wave equations	2022	Shiwu Yang
+ PDF Chat	Bounded solutions to an energy subcritical non-linear wave equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><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>	2020	Ruipeng Shen
+	On the global behaviors for defocusing semilinear wave equations in $\mathbb{R}^{1+2}$	2020	Dongyi Wei Shiwu Yang

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	Scattering for the radial 3D cubic wave equation	2015	Benjamin Dodson Andrew Lawrie
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation	2000	Daniel Tataru
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo
+ PDF Chat	Weighted Strichartz estimates and global existence for semilinear wave equations	1997	Vladimir Georgiev 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
+	Decay estimates for the critical semilinear wave equation	1998	Hajer Bahouri Jalal Shatah