Didier Pilod

Generating author description...

All published works

Action	Title	Year	Authors
+	Correction: On the Benjamin and Related Equations	2025	Christian Klein Felipe Linares Didier Pilod Jean‐Claude Saut
+ PDF Chat	Deep-water limit of the intermediate long wave equation in $L^2$	2025	Andreia Chapouto Guopeng Li Tadahiro Oh Didier Pilod
+	On the Benjamin and Related Equations	2024	Christian Klein Felipe Linares Didier Pilod Jean‐Claude Saut
+	Dynamics of the Collision of Two Nearly Equal Solitary Waves for the Zakharov–Kuznetsov Equation	2024	Didier Pilod Frédéric Valet
+ PDF Chat	On the fractional Sch\"odinger equation with variable coefficients	2024	Carlos E. Kenig Didier Pilod Gustavo Ponce Luis Vega
+	Intermediate long wave equation in negative Sobolev spaces	2024	Andreia Chapouto Justin Forlano Guopeng Li Tadahiro Oh Didier Pilod
+ PDF Chat	Asymptotic stability of a finite sum of solitary waves for the Zakharov–Kuznetsov equation	2024	Didier Pilod Frédéric Valet
+ PDF Chat	Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation	2024	Didier Pilod Frédéric Valet
+ PDF Chat	Well-Posedness for the Extended Schrödinger–Benjamin–Ono System	2023	Felipe Linares Argenis J. Mendez Didier Pilod
+ PDF Chat	Unconditional uniqueness for the Benjamin–Ono equation	2023	Răzvan Moşincat Didier Pilod
+	Well-posedness for the extended Schrödinger-Benjamin-Ono system	2023	Felipe Linares Argenis J. Mendez Didier Pilod
+	Deep-water limit of the intermediate long wave equation in $L^2$	2023	Andreia Chapouto Guopeng Li Tadahiro Oh Didier Pilod
+	Intermediate long wave equation in negative Sobolev spaces	2023	Andreia Chapouto Justin Forlano Guopeng Li Tadahiro Oh Didier Pilod
+	On the Benjamin and related equations	2023	Christian Klein Felipe Linares Didier Pilod J. -C. Saut
+	Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation	2023	Didier Pilod Frédéric Valet
+ PDF Chat	Finite point blowup for the critical generalized Korteweg-de Vries equation	2022	Yvan Martel Didier Pilod
+	Breather Solutions to the Cubic Whitham Equation	2022	Henrik Kalisch Miguel Á. Alejo Adán J. Corcho Didier Pilod
+ PDF Chat	Dispersive Estimates for Full Dispersion KP Equations	2021	Didier Pilod Jean‐Claude Saut Sigmund Selberg Achenef Tesfahun
+	Unconditional uniqueness for the Benjamin-Ono equation	2021	Răzvan Moşincat Didier Pilod
+	Finite point blowup for the critical generalized Korteweg-de Vries equation	2021	Yvan Martel Didier Pilod
+	Global well-posedness and scattering for the Dysthe equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>	2020	Răzvan Moşincat Didier Pilod Jean‐Claude Saut
+ PDF Chat	Full Family of Flattening Solitary Waves for the Critical Generalized KdV Equation	2020	Yvan Martel Didier Pilod
+ PDF Chat	On the unique continuation of solutions to non-local non-linear dispersive equations	2020	Carlos E. Kenig Didier Pilod Gustavo Ponce Luis Vega
+	On the unique continuation of solutions to non-local non-linear dispersive equations.	2020	Carlos E. Kenig Didier Pilod Gustavo Ponce Luis Vega
+	Global well-posedness and scattering for the Dysthe equation in $L^2(\mathbb R^2)$	2020	Răzvan Moşincat Didier Pilod Jean‐Claude Saut
+	On the unique continuation of solutions to non-local non-linear dispersive equations	2020	Carlos E. Kenig Didier Pilod Gustavo Ponce Luis Vega
+ PDF Chat	Unconditional uniqueness for the modified Korteweg–de Vries equation on the line	2018	Luc Molinet Didier Pilod Stéphane Vento
+ PDF Chat	On unconditional well-posedness for the periodic modified Korteweg–de Vries equation	2018	Luc Molinet Didier Pilod Stéphane Vento
+	On the local well-posedness for a full-dispersion Boussinesq system with surface tension	2018	Henrik Kalisch Didier Pilod
+	On the local well-posedness for a full dispersion Boussinesq system with surface tension	2018	Henrik Kalisch Didier Pilod
+ PDF Chat	On well-posedness for some dispersive perturbations of Burgers' equation	2018	Stéphane Vento Luc Molinet Didier Pilod
+ PDF Chat	The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations	2018	Felipe Linares Didier Pilod Jean‐Claude Saut
+	On the local well-posedness for a full dispersion Boussinesq system with surface tension	2018	Henrik Kalisch Didier Pilod
+	On Whitham and Related Equations	2017	Christian Klein Felipe Linares Didier Pilod Jean‐Claude Saut
+	The Cauchy problem for the fractional Kadomtsev-Petviashvili equations	2017	Felipe Linares Didier Pilod Jean‐Claude Saut
+	On Whitham and related equations	2017	Christian Klein Felipe Linares Didier Pilod Jean‐Claude Saut
+	The Cauchy problem for the fractional Kadomtsev-Petviashvili equations	2017	Felipe Linares Didier Pilod Jean‐Claude Saut
+ PDF Chat	Construction of a minimal mass blow up solution of the modified Benjamin–Ono equation	2016	Yvan Martel Didier Pilod
+ PDF Chat	Local well-posedness for the KdV hierarchy at high regularity	2016	Carlos E. Kenig Didier Pilod
+	On unconditional well-posedness for the periodic modified Korteweg-de Vries equation	2016	Luc Molinet Didier Pilod Stéphane Vento
+	Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation	2016	Yvan Martel Didier Pilod
+	On unconditional well-posedness for the periodic modified korteweg-de vries equation	2016	Luc Molinet Didier Pilod Stéphane Vento
+	Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation	2016	Yvan Martel Didier Pilod
+ PDF Chat	Asymptotic Stability of High-dimensional Zakharov–Kuznetsov Solitons	2015	Raphaël Côte Claudio Muñoz Didier Pilod Gideon Simpson
+	Local well-posedness for the KdV hierarchy at high regularity	2015	Carlos E. Kenig Didier Pilod
+ PDF Chat	Remarks on the orbital stability of ground state solutions of fKdV and related equations	2015	Felipe Linares Didier Pilod Jean‐Claude Saut
+ PDF Chat	Asymptotic Stability of Zakharov-Kuznetsov solitons	2015	Didier Pilod
+	Remarks on the orbital stability of ground state solutions of fKdV and related equations	2015	Felipe Linares Didier Pilod Jean‐Claude Saut
+	Asymptotic Stability of Zakharov-Kuznetsov solitons	2015	Didier Pilod
+ PDF Chat	Bilinear Strichartz estimates for the ZK equation and applications	2015	Luc Molinet Didier Pilod
+	Local well-posedness for the KdV hierarchy at high regularity	2015	Carlos E. Kenig Didier Pilod
+	Remarks on the orbital stability of ground state solutions of fKdV and related equations	2015	Felipe Linares Didier Pilod Jean‐Claude Saut
+	Well-posedness for the fifth-order KdV equation in the energy space	2014	Carlos E. Kenig Didier Pilod
+	Unconditional uniqueness for the modified Korteweg-de Vries equation on the line	2014	Luc Molinet Didier Pilod Stéphane Vento
+ PDF Chat	Asymptotic Stability of high-dimensional Zakharov-Kuznetsov solitons	2014	Raphaël Côte Claudio Muñoz Didier Pilod Gideon Simpson
+ PDF Chat	Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications	2014	Didier Pilod Luc Molinet
+ PDF Chat	Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory	2014	Felipe Linares Didier Pilod Jean‐Claude Saut
+	Unconditional uniqueness for the modified Korteweg-de Vries equation on the line	2014	Luc Molinet Didier Pilod Stéphane Vento
+	Dispersive perturbations of Burgers and hyperbolic equations I : local theory	2013	Felipe Linares Didier Pilod Jean‐Claude Saut
+	Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications	2013	Luc Molinet Didier Pilod
+	Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications	2013	Luc Molinet Didier Pilod
+	Dispersive perturbations of Burgers and hyperbolic equations I : local theory	2013	Felipe Linares Didier Pilod Jean‐Claude Saut
+ PDF Chat	The Cauchy problem for the Benjamin–Ono equation in<i>L</i><sup>2</sup>revisited	2012	Luc Molinet Didier Pilod
+	Well-posedness for the fifth-order KdV equation in the energy space	2012	Carlos E. Kenig Didier Pilod
+ PDF Chat	Global Well-Posedness and Limit Behavior for a Higher-Order Benjamin-Ono Equation	2012	Luc Molinet Didier Pilod
+	Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems	2012	Felipe Linares Didier Pilod Jean–Claude Saut
+	Well-posedness for the fifth-order KdV equation in the energy space	2012	Carlos E. Kenig Didier Pilod
+	The Hirota-Satsuma Equation. A model for surface water waves.	2011	Jerry L. Bona Rafael Iório Didier Pilod
+	Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems	2011	Felipe Linares Didier Pilod Jean‐Claude Saut
+	Well-posedness for a higher-order Benjamin–Ono equation	2010	Felipe Linares Didier Pilod Gustavo Ponce
+ PDF Chat	Local well-posedness for the nonlocal nonlinear Schrödinger equation below the energy space	2010	Didier Pilod Roger Peres de Moura
+	The Cauchy problem for the Benjamin-Ono equation in $L^2$ revisited	2010	Luc Molinet Didier Pilod
+	Stability of solitary-wave solutions to the Hirota-Satsuma equation	2010	Jerry L. Bona Didier Pilod
+ PDF Chat	Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system	2009	Jaime Angulo Pava Carlos Matheus Didier Pilod
+	On the Cauchy problem for higher-order nonlinear dispersive equations	2008	Didier Pilod
+	Sharp well-posedness results for the Kuramoto-Velarde equation	2008	Didier Pilod
+ PDF Chat	Well posedness for Hirota-Satsuma's equation	2008	Rafael Iório Didier Pilod
+	Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System	2007	Jaime Angulo Pava Carlos Matheus Didier Pilod
+	On the Cauchy problem for higher-order nonlinear dispersive equations	2007	Didier Pilod

Common Coauthors

Coauthor	Papers Together
Felipe Linares	19
Jean–Claude Saut	18
Luc Molinet	14
Carlos E. Kenig	10
Stéphane Vento	7
Yvan Martel	6
Gustavo Ponce	5
Christian Klein	5
Frédéric Valet	4
Henrik Kalisch	4
Luis Vega	4
Răzvan Moşincat	4
Andreia Chapouto	4
Tadahiro Oh	4
Guopeng Li	4
Rafael Iório	2
Claudio Muñoz	2
Gideon Simpson	2
Justin Forlano	2
Argenis J. Mendez	2
Raphaël Côte	2
Jerry L. Bona	2
Carlos Matheus	2
Jaime Angulo Pava	2
Sigmund Selberg	1
Achenef Tesfahun	1
Roger Peres de Moura	1
J. -C. Saut	1
Miguel Á. Alejo	1
Adán J. Corcho	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	27
+	Ill-Posedness Issues for the Benjamin--Ono and Related Equations	2001	Luc Molinet Jean‐Claude Saut Nikolay Tzvetkov	19
+	None	2003	Herbert Koch N. Tzvetkov	17
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith	15
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce	15
+ PDF Chat	On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations	2003	Carlos E. Kenig Kenneth D. Koenig	13
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	11
+ PDF Chat	Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory	2014	Felipe Linares Didier Pilod Jean‐Claude Saut	10
+ PDF Chat	On the global well-posedness of the Benjamin-Ono equation	1991	Gustavo Ponce	9
+ PDF Chat	GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H<sup>1</sup>(<b>R</b>)	2004	Terence Tao	9
+	Global well-posedness of the Benjamin–Ono equation in low-regularity spaces	2006	Alexandru D. Ionescu Carlos E. Kenig	9
+ PDF Chat	Well-posedness of the initial value problem for the Korteweg-de Vries equation	1991	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+ PDF Chat	Global well-posedness of the KP-I initial-value problem in the energy space	2008	Alexandru D. Ionescu Carlos E. Kenig Daniel Tataru	8
+	The Fourier restriction norm method for the Zakharov-Kuznetsov equation	2013	Axel Grünrock Sebastian Herr	8
+	Nonlocal models for nonlinear, dispersive waves	1989	L. Abdelouhab Jerry L. Bona M. Felland Jean‐Claude Saut	8
+ PDF Chat	Improvement of the energy method for strongly nonresonant dispersive equations and applications	2015	Luc Molinet Stéphane Vento	8
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+ PDF Chat	On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type	2012	Mats Ehrnström M. D. Groves Erik Wahlén	7
+	Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation	1991	J. Ginibre G. Velo	7
+ PDF Chat	On well-posedness for some dispersive perturbations of Burgers' equation	2018	Stéphane Vento Luc Molinet Didier Pilod	7
+	On the Cauchy problem for higher-order nonlinear dispersive equations	2008	Didier Pilod	7
+	Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation	2009	Felipe Linares Ademir Pastor	7
+ PDF Chat	Global well-posedness in L 2 for the periodic Benjamin-Ono equation	2008	Luc Molinet	7
+ PDF Chat	Transverse nonlinear instability for two-dimensional dispersive models	2008	Frédéric Rousset N. Tzvetkov	6
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud	6
+	Local well-posedness for dispersion generalized Benjamin–Ono equations in Sobolev spaces	2011	Zihua Guo	6
+ PDF Chat	The Cauchy problem for the Benjamin–Ono equation in<i>L</i><sup>2</sup>revisited	2012	Luc Molinet Didier Pilod	6
+	On the cauchy problem for the benjamin-ono equation	1986	Rafael José Iório	6
+ PDF Chat	A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations	2010	Sebastian Herr Alexandru D. Ionescu Carlos E. Kenig Herbert Koch	6
+ PDF Chat	The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation	2013	David Lannes Felipe Linares Jean–Claude Saut	6
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	6
+ PDF Chat	On well-posedness for the Benjamin–Ono equation	2007	Nicolas Burq Fabrice Planchon	6
+ PDF Chat	A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation	2015	Christian Klein Jean‐Claude Saut	6
+ PDF Chat	Higher-order nonlinear dispersive equations	1994	Carlos E. Kenig Gustavo Ponce Luis Vega	6
+ PDF Chat	Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications	2014	Didier Pilod Luc Molinet	6
+ PDF Chat	Asymptotic models for internal waves	2008	Jerry L. Bona David Lannes Jean‐Claude Saut	6
+ PDF Chat	Dispersion Estimates for Third Order Equations in Two Dimensions	2003	Matania Ben‐Artzi Herbert Koch Jean–Claude Saut	5
+ PDF Chat	Long time solutions for a Burgers-Hilbert equation via a modified energy method	2015	John K. Hunter Mihaela Ifrim Daniel Tataru Tak Kwong Wong	5
+	Well-posedness for a higher-order Benjamin–Ono equation	2010	Felipe Linares Didier Pilod Gustavo Ponce	5
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	5
+	On the decay properties of solutions to a class of Schrödinger equations	2008	L. Dawson H. McGahagan Gustavo Ponce	5
+ PDF Chat	Global Well-Posedness for the KP-I Equation on the Background of a Non-Localized Solution	2007	Luc Molinet Jean‐Claude Saut Nikolay Tzvetkov	5
+	Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation	2012	Francis Ribaud Stéphane Vento	5
+	The Cauchy problem on large time for surface waves Boussinesq systems	2011	Jean‐Claude Saut Li Xu	5
+	Asymptotic stability of solitons of the subcritical gKdV equations revisited	2004	Yvan Martel Frank Merle	5
+ 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	5
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF Chat	Asymptotic stability of solitons for the Benjamin-Ono equation	2009	Carlos E. Kenig Yvan Martel	5
+	Sufficient conditions for stability of solitary-wave solutions of model equations for long waves	1987	John Albert Jerry L. Bona David Henry	4
+	Stability and instability of some nonlinear dispersive solitary waves in higher dimension	1996	Anne de Bouard	4