Concentration-compactness and universal profiles for the non-radial energy critical wave equation

Thomas Duyckaerts, Carlos E. Kenig, Frank Merle

Type: Article

Publication Date: 2016-01-29

Citations: 27

DOI: https://doi.org/10.1016/j.na.2015.12.027

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Nonlinear Analysis - View - PDF

Similar Works

Action	Title	Year	Authors
+	Concentration-compactness and universal profiles for the non-radial energy critical wave equation	2015	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Concentration-compactness and universal profiles for the non-radial energy critical wave equation	2015	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+ PDF Chat	Concentration Compactness for Critical Radial Wave Maps	2018	Elisabetta Chiodaroli Joachim Krieger Jonas Lührmann
+	Concentration Compactness for Critical Radial Wave Maps	2016	Elisabetta Chiodaroli Joachim Krieger Jonas Lührmann
+	Concentration Compactness for Critical Radial Wave Maps	2016	Elisabetta Chiodaroli Joachim Krieger Jonas Lührmann
+	Universal Profiles and Rigidity Theorems for the Energy Critical Wave Equation	2012	Carlos E. Kenig
+ PDF Chat	Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation	2015	Joachim Krieger Jonas Lührmann
+ PDF Chat	The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations	2011	Carlos E. Kenig
+ PDF Chat	Scattering theory for the radial<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>˙</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:msup></mml:math>-critical wave equation with a cubic convolution	2015	Changxing Miao Junyong Zhang Jiqiang Zheng
+	Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation	2017	Chuanwei Gao Jing Lu
+	Scattering for critical radial Neumann waves outside a ball	2020	Thomas Duyckaerts David Lafontaine
+	Scattering for critical radial Neumann waves outside a ball	2020	Thomas Duyckaerts David Lafontaine
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, Schr\"odinger equation with general nonlinearity in the radial case	2024	Jun Wang Zhaoyang Yin
+ PDF Chat	Scattering for critical radial Neumann waves outside a ball	2021	Thomas Duyckaerts David Lafontaine
+ PDF Chat	Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations	2015	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations	2013	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Concentration close to the cone for linear waves	2022	Raphaël Côte Camille Laurent
+	Concentration-compactness principle and applications to nonlocal elliptic problems	2016	Diego Ferraz de Souza
+	Profiles of bounded radial solutions of the focusing, energy-critical wave equation	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Profiles of bounded radial solutions of the focusing, energy-critical wave equation	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle

Works That Cite This (26)

Action	Title	Year	Authors
+ PDF Chat	On Nonlinear Profile Decompositions and Scattering for an NLS–ODE Model	2018	Scipio Cuccagna Masaya Maeda
+	Global Attraction to Stationary States	2021	Alexander Komech Elena Kopylova
+	Global Attraction to Solitons	2021	Alexander Komech Elena Kopylova
+	Asymptotic Stability of Stationary Orbits and Solitons	2021	Alexander Komech Elena Kopylova
+	Numerical Simulation of Solitons	2021	Alexander Komech Elena Kopylova
+	Bibliography	2021	Alexander Komech Elena Kopylova
+	Global Attraction to Stationary Orbits	2021	Alexander Komech Elena Kopylova
+	Dispersive Decay	2021	Alexander Komech Elena Kopylova
+	Attractors and Quantum Mechanics	2021	Alexander Komech Elena Kopylova
+	Adiabatic Effective Dynamics of Solitons	2021	Alexander Komech Elena Kopylova

Works Cited by This (31)

Action	Title	Year	Authors
+ PDF Chat	Slow blow-up solutions for the H1(R3) critical focusing semilinear wave equation	2009	Joachim Krieger Wilhelm Schlag Daniel Tataru
+	Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5	2016	Jacek Jendrej
+	Global existence for solutions of the focusing wave equation with the compactness property	2015	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+ PDF Chat	Maximizers for the Strichartz Inequalities for the wave equation	2010	Aynur Bulut
+ PDF Chat	Profiles of bounded radial solutions of the focusing, energy-critical wave equation	2012	Thomas Duyckaerts Carlos E. Kenig Frank Merle
+	Convergence of solutions of H-systems or how to blow bubbles	1985	H. Brézis Jean‐Michel Coron
+ PDF Chat	Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation	2012	Matthieu Hillairet Pierre Raphaël
+	The role of the Green's function in a non-linear elliptic equation involving the critical Sobolev exponent	1990	Olivier Rey
+ PDF Chat	Energy partition for the linear radial wave equation	2013	Raphaël Côte Carlos E. Kenig Wilhelm Schlag
+	Equivariant wave maps in two space dimensions	2003	Michaël Struwe