Oscillations and Concentration Effects in Semilinear Dispersive Wave Equations

Patrick Gérard

Type: Article

Publication Date: 1996-10-01

Citations: 108

DOI: https://doi.org/10.1006/jfan.1996.0122

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Nonlinear Dunkl-wave equations	2010	Hatem Mejjaolı
+	Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential	2010	Massimiliano Berti Philippe Bolle
+	Smoothing Effect in Quasilinear Wave Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+ PDF Chat	Remarks on solitary waves in equations with nonlocal cubic terms	2024	Johanna Ulvedal Marstrander
+	Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation	2022	Ahmed Bchatnia
+ PDF Chat	Remarks on solitary waves in equations with nonlocal cubic terms	2024	Johanna Ulvedal Marstrander
+	Decomposition en Profils Des Solutions de L’equation Des Ondes Semi Lineaire Critique a L’exterieur D’un Obstacle Strictement Convexe	2002	Isabelle Gallagher Patrick Gérard
+ PDF Chat	Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions	2013	Aynur Bulut Magdalena Czubak Dong Li Nataša Pavlović Xiaoyi Zhang
+	Critical Exponent for a Class of Semilinear Damped Wave Equations with Decaying in Time Propagation Speed	2020	Marcelo Rempel Ebert Jorge Marques
+	Critical regularity of nonlinearities in semilinear classical damped wave equations	2019	Marcelo Ribeiro Ebert Giovanni Girardi Michael Reissig
+	Critical regularity of nonlinearities in semilinear classical damped wave equations	2019	Marcelo Rempel Ebert Giovanni Girardi Michael Reissig
+ PDF Chat	Local well-posedness for dispersive equations with bounded data	2024	Jianguo Zhao
+	Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$	2015	Thomas Duyckaerts Tristan Roy
+ PDF Chat	Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb T^d$ with a multiplicative potential	2012	Massimiliano Berti Philippe Bolle
+	Damped wave equations with fast growing dissipative nonlinearities	2009	Alexandre N. Carvalho Jan W. Cholewa Tomasz Dłotko
+	On Lipschitz continuity of solution operators to nonlinear wave equations	2012	Philip Brenner
+ PDF Chat	The threshold of effective damping for semilinear wave equations	2014	Marcello D’Abbicco
+ PDF Chat	Quasilinear elliptic equations involving measure valued absorption terms and measure data	2023	Konstantinos T. Gkikas
+ PDF Chat	Precise exponential decay for solutions of semilinear elliptic equations and its effect on the structure of the solution set for a real analytic nonlinearity	2016	Nils Ackermann E. N. Dancer
+ PDF Chat	Critical exponent for the semilinear wave equations with a damping increasing in the far field	2018	Kenji Nishihara Motohiro Sobajima Yuta Wakasugi

Works That Cite This (104)

Action	Title	Year	Authors
+	Scattering for NLS with a delta potential	2015	Valeria Banica Nicola Visciglia
+	Concentration effects in critical nonlinear wave equation and scattering theory	1997	Hajer Bahouri Patrick Gérard
+ PDF Chat	Stabilization and control for the subcritical semilinear wave equation	2003	Belhassen Dehman Gilles Lebeau Enrique Zuazua
+	Wigner measures dynamics in a Coulomb potential	2005	Sahbi Keraani
+	Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation	2017	Chenmin Sun Ivonne Rivas
+	On the stability in weak topology of the set of global solutions to the Navier-Stokes equations	2013	Hajer Bahouri Isabelle Gallagher
+	Stabilization and control of subcritical semilinear wave equation in bounded domain with Cauchy-Ventcel boundary conditions	2008	A. Kanoune Noureddine Mehidi
+	Stabilization for the Wave Equation on Exterior Domains	2001	Lassaad Aloui Moez Khenissi
+ PDF Chat	Analysis of the energy decay of a viscoelasticity type equation	2016	Amel Atallah-Baraket Maryem Trabelsi
+	Recent Advances in Harmonic Analysis and Partial Differential Equations	2012	Andrea R. Nahmod Christopher D. Sogge Xiaoyi Zhang Shijun Zheng

Works Cited by This (9)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Ergodic properties of eigenfunctions for the Dirichlet problem	1993	Patrick Gérard Éric Leichtnam
+	Concerning the Lp norm of spectral clusters for second-order elliptic operators on compact manifolds	1988	Christopher D. Sogge
+ PDF Chat	On the critical semilinear wave equation outside convex obstacles	1995	Hart F. Smith Christopher D. Sogge
+	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
+	H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations	1990	Luc Tartar
+ PDF Chat	Sur les mesures de Wigner	1993	Pierre-Louis Lions Thierry Paul
+ PDF Chat	Semi-linear wave equations	1992	Michaël Struwe