Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications

Carlos E. Kenig, Frank Merle

Type: Preprint

Publication Date: 2008-01-01

Citations: 6

DOI: https://doi.org/10.48550/arxiv.0810.4834

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications	2011	Carlos E. Kenig Frank Merle
+ PDF Chat	Scattering for Radial, Bounded Solutions of Focusing Supercritical Wave Equations	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Scattering for radial, bounded solutions of focusing supercritical wave equations	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Scattering for radial, bounded solutions of focusing supercritical wave equations	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$	2015	Thomas Duyckaerts Tristan Roy
+	On the supercritical defocusing NLW outside a ball	2019	Piero DʼAncona
+	On the supercritical defocusing NLW outside a ball	2019	Piero DʼAncona
+ PDF Chat	On the energy subcritical, nonlinear wave equation in ℝ<sup>3</sup>with radial data	2013	Ruipeng Shen
+	Scattering for radial energy-subcritical wave equations	2016	Casey Rodriguez
+	Scattering for radial energy-subcritical wave equations	2016	Casey Rodriguez
+	Radial solutions to energy supercritical wave equations in odd dimensions	2011	Carlos E. Kenig Frank Merle
+ PDF Chat	Scattering for defocusing energy subcritical nonlinear wave equations	2020	Benjamin Dodson Andrew Lawrie Dana Mendelson Jason Murphy
+	Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation	2012	Aynur Bulut
+	Scattering for radial energy-subcritical wave equations in dimensions 4 and 5	2017	Casey Rodriguez
+	Global regularity for the nonlinear wave equation with slightly supercritical power	2019	Maria Colombo Silja Haffter
+ PDF Chat	The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions	2010	Rowan Killip Monica Vişan
+	The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions	2010	Rowan Killip Monica Vişan
+	Global behaviors of defocusing semilinear wave equations	2019	Shiwu Yang
+ PDF Chat	Global behaviors of defocusing semilinear wave equations	2022	Shiwu Yang
+	Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation	2020	Ruipeng Shen

Works That Cite This (7)

Action	Title	Year	Authors
+	Global Well-posedness and Scattering of Defocusing Energy subcritical Nonlinear Wave Equation in dimension 3 with radial data	2011	Ruipeng Shen
+ PDF Chat	A profile decomposition approach to the $$L^\infty _t(L^{3}_x)$$ Navier–Stokes regularity criterion	2012	Isabelle Gallagher Gabriel S. Koch Fabrice Planchon
+	Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation	2012	Aynur Bulut
+ PDF Chat	The radial defocusing energy-supercritical cubic nonlinear wave equation in $\mathbb{R}^{{\sf 1}+{\sf 5}}$	2014	Aynur Bulut
+	Global Well-Posedness and Scattering for the Defocusing Energy-Supercritical Cubic Nonlinear Wave Equation	2010	Aynur Bulut
+	Numerical simulations of the energy- supercritical Nonlinear Schrödinger equation	2009	J. Colliander Gideon Simpson Catherine Sulem
+	Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions	2011	Monica Vişan

Works Cited by This (25)

Action	Title	Year	Authors
+	Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class	2008	Terence Tao
+	Convolution estimates for some distributions with singularities on the light cone	1989	Daniel M. Oberlin
+	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2007	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2007	Rowan Killip Terence Tao Monica Vişan
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo
+ PDF Chat	A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation	2008	Justin Holmer Svetlana Roudenko
+ PDF Chat	INHOMOGENEOUS STRICHARTZ ESTIMATES	2005	Damiano Foschi
+ PDF Chat	Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System	2008	Raphaël Côte Carlos E. Kenig Frank Merle
+ PDF Chat	Stability of Blow-Up Profile and Lower Bounds for Blow-Up Rate for the Critical Generalized KdV Equation	2002	Yvan Martel Frank Merle
+	Nonlinear small data scattering for the wave and Klein-Gordon equation	1984	Hartmut Pecher