Tristan Roy

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All published works

Action	Title	Year	Authors
+ PDF Chat	Global dynamics above the ground state energy for the energy-critical Klein-Gordon equation	2024	Tristan Roy
+	The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2023	Tristan Roy Hatem Zaag
+	The blow-up rate for a loglog non-scaling invariant semilinear wave equation	2023	Tristan Roy Hatem Zaag
+ PDF Chat	Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrödinger equation with radial data below ground state	2022	Tristan Roy
+ PDF Chat	Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus	2022	Tristan Roy
+ PDF Chat	Global Existence of Solutions of a Loglog Energy-Supercritical Klein–Gordon Equation	2022	Tristan Roy
+	Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation	2022	Tristan Roy
+	Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus	2021	Tristan Roy
+	Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation	2021	Tristan Roy
+ PDF Chat	On Jensen-type Inequalities for Nonsmooth Radial Scattering Solutions of a Loglog Energy-Supercritical Schrödinger Equation	2018	Tristan Roy
+	Corrigendum to “Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data”	2018	Tristan Roy
+	On Jensen-type inequalities for unbounded radial scattering solutions of a loglog energy-supercritical Schrodinger equation	2017	Tristan Roy
+ PDF Chat	A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrödinger equations	2017	Tristan Roy
+	Scattering above energy norm of solutions of a focusing logloglog energy-supercritical Schrodinger equation with radial data below ground state	2017	Tristan Roy
+	Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on R^3	2017	Thomas Duyckaerts Tristan Roy
+	Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrodinger equation with radial data below ground state	2017	Tristan Roy
+	On Jensen-type inequalities for nonsmooth radial scattering solutions of a loglog energy-supercritical Schrodinger equation	2017	Tristan Roy
+ PDF	Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data	2016	Kenji Nakanishi Tristan Roy
+	On the interpolation with the potential bound for global solutions of the defocusing cubic 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">T</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2016	Tristan Roy
+ PDF Chat	Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D	2016	Soonsik Kwon Tristan Roy
+	A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrodinger equations	2015	Tristan Roy
+	Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$	2015	Thomas Duyckaerts Tristan Roy
+	Global dynamics above the ground state for the energy-critical Schrodinger equation with radial data	2015	Kenji Nakanishi Tristan Roy
+	A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrodinger equations	2015	Tristan Roy
+	On the interpolation with the potential bound for global solutions of the defocusing cubic wave equation on T2	2014	Tristan Roy
+	On the interpolation with the potential bound for global solutions of the defocusing cubic wave equation on T2	2014	Tristan Roy
+	On control of Sobolev norms for some semilinear wave equations with localized data	2013	Tristan Roy
+	On control of Sobolev norms for some semilinear wave equations with localized data (Harmonic Analysis and Nonlinear Partial Differential Equations)	2013	Tristan Roy
+	On Control Of Sobolev Norms Of Solutions Of Some Semilinear Wave Equations With Localized Data	2012	Tristan Roy
+ PDF	A remark on barely<i>Ḣ</i><sup><i>s</i><sub>p</sub></sup>-supercritical wave equations	2012	Tristan Roy
+	On Control Of Sobolev Norms For Some Semilinear Wave Equations With Localized Data	2012	Tristan Roy
+	Bilinear local smoothing estimate for Airy equation	2012	Soonsik Kwon Tristan Roy
+ PDF	Bilinear local smoothing estimate for Airy equation	2012	Soonsik Kwon Tristan Roy
+	On Control Of Sobolev Norms For Some Semilinear Wave Equations With Localized Data	2012	Tristan Roy
+ PDF	Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm	2011	M. Keel Tristan Roy Terence Tao
+ PDF	Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $R^2$	2010	J. Colliander Tristan Roy
+	Bilinear local smoothing estimate and its application to the critical gKdV equation	2010	Soonsik Kwon Tristan Roy
+	Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data	2010	Tristan Roy
+	Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D	2010	Soonsik Kwon Tristan Roy
+	Generation Of Decay Estimates And Application To Scattering Of Rough Solutions Of 3D NLKG	2010	Soonsik Kwon Tristan Roy
+	Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D	2010	Soonsik Kwon Tristan Roy
+	Bilinear local smoothing estimate for Airy equation	2010	Soonsik Kwon Tristan Roy
+ PDF	Global existence of smooth solutions of a 3D log-log energy-supercritical wave equation	2009	Tristan Roy
+	Introduction to scattering for radial 3D NLKG below energy norm	2009	Tristan Roy
+	Scattering above energy norm of solutions of a loglog energy-supercritical Schrodinger equation with radial data	2009	Tristan Roy
+	One Remark on Barely \dot{H}^{s_{p}} Supercritical Wave Equations	2009	Tristan Roy
+	Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm	2009	M. Keel Tristan Roy Terence Tao
+ PDF	Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb{R}^{3}$	2009	Tristan Roy
+	Scattering above energy norm of solutions of a loglog energy-supercritical Schrodinger equation with radial data	2009	Tristan Roy
+	Introduction to scattering for radial 3D NLKG below energy norm	2008	Tristan Roy
+	Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}	2008	Jim Colliander Tristan Roy
+	Global Existence Of Smooth Solutions Of A 3D Loglog Energy-Supercritical Wave Equation	2008	Tristan Roy
+	Introduction to scattering for radial 3D NLKG below energy norm	2008	Tristan Roy
+	Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data	2007	Tristan Roy
+	Adapted Linear-Nonlinear Decomposition And Global Well-posedness For Solutions To The Defocusing Cubic Wave Equation On $\mathbb{R}^{3}$	2007	Tristan Roy
+	Global well-posedness for solutions of low regularity to the defocusing cubic wave equation on $\mathbb{R}^{3}$	2007	Tristan Roy
+	Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data	2007	Tristan Roy
+	Adapted Linear-Nonlinear Decomposition And Global Well-posedness For Solutions To The Defocusing Cubic Wave Equation On $\mathbb{R}^{3}$	2007	Tristan Roy
+	Mesh adaptation by Optimal Control of a continuous model	2006	François Courty Tristan Roy Bruno Koobus Alain Dervieux
+	Quantisation of soliton solution of a generalised discrete non-linear equation	1979	K R Chaudhuri A. Chaudhuri Tristan Roy

Common Coauthors

Coauthor	Papers Together
Soonsik Kwon	8
Terence Tao	2
Hatem Zaag	2
Kenji Nakanishi	2
M. Keel	2
Thomas Duyckaerts	2
A. Chaudhuri	1
Bruno Koobus	1
K R Chaudhuri	1
Alain Dervieux	1
J. Colliander	1
François Courty	1
Jim Colliander	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	23
+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge	21
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo	12
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	11
+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard	11
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	11
+	Time decay for the nonlinear Klein-Gordon equation	1968	Cathleen S. Morawetz	10
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	10
+	Decay and scattering of solutions of a nonlinear relativistic wave equation	1972	Cathleen S. Morawetz Walter A. Strauss	10
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	9
+ PDF	Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb{R}^{3}$	2009	Tristan Roy	8
+	Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data	2007	Tristan Roy	8
+ PDF	Global existence of smooth solutions of a 3D log-log energy-supercritical wave equation	2009	Tristan Roy	8
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega	7
+	Regularity and Asymptotic Behavior of the Wave Equation with a Critical Nonlinearity	1990	Manoussos G. Grillakis	6
+	Globally regular solutions to the $u^5$ Klein-Gordon equation	1988	Michaël Struwe	6
+ PDF Chat	GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA	2007	Terence Tao	6
+ PDF	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain	6
+	Regularity Results for Nonlinear Wave Equations	1993	Jalal Shatah Michaël Struwe	6
+	Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data	2010	Tristan Roy	6
+	Nonlinear Wave Equations	1990	Walter A. Strauss	6
+	Tools for PDE	2007	Michael E. Taylor	6
+ PDF	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF	On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹	1999	Sergiù Klainerman Daniel Tataru	5
+ PDF	Some results on scattering for log-subcritical and log-supercritical nonlinear wave equations	2013	Hsi-Wei Shih	5
+	On global well-posedness for defocusing cubic wave equation	2006	Hajer Bahouri J.-Y. Chemin	5
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case	2006	Carlos E. Kenig Frank Merle	5
+ PDF	Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations	2001	Kenji Nakanishi	5
+	Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data.	2005	Terence Tao	5
+	Regularity for the wave equation with a critical nonlinearity	1992	Manoussos G. Grillakis	4
+	Global and Unique Weak Solutions of Nonlinear Wave Equations	1994	Lev Kapitanski	4
+	Introduction to scattering for radial 3D NLKG below energy norm	2009	Tristan Roy	4
+	Global dynamics above the ground state energy for the focusing nonlinear Klein–Gordon equation	2010	Kenji Nakanishi Wilhelm Schlag	4
+	Nonlinear Dispersive Equations	2006	Terence Tao	4
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	4
+	Lectures on Nonlinear Wave Equations	2005	Christopher D. Sogge	4
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo	4
+ PDF	On global solutions to a defocusing semi-linear wave equation	2003	Isabelle Gallagher Fabrice Planchon	4
+	Corrigendum to “Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data”	2018	Tristan Roy	3
+	On nonlinear schrödinger equations	2000	Manoussos G. Grillakis	3
+ PDF Chat	Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications	2011	Carlos E. Kenig Frank Merle	3
+	Invariant Manifolds and Dispersive Hamiltonian Evolution Equations	2011	Kenji Nakanishi Wilhelm Schlag	3
+	Nonlinear small data scattering for the wave and Klein-Gordon equation	1984	Hartmut Pecher	3
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	3
+ PDF	The Cauchy Problem for Nonlinear Klein–Gordon Equations in the Sobolev Spaces	2001	Makoto Nakamura Tohru Ozawa	3
+ PDF Chat	Global dynamics above the ground state energy for the cubic NLS equation in 3D	2011	Kenji Nakanishi Wilhelm Schlag	3
+	Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2	1999	Kenji Nakanishi	3
+	Hs-global well-posedness for semilinear wave equations	2003	Changxing Miao Bo Zhang	3
+	Dynamic of Threshold Solutions for Energy-Critical NlS	2009	Thomas Duyckaerts Frank Merle	3
+ PDF	Best constant in Sobolev inequality	1976	Giorgio Talenti	3