Eddye Bustamante

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All published works
Action Title Year Authors
+ PDF Chat Dispersive blow-up for a coupled Schr\"odinger-fifth order KdV system 2024 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ PDF Chat Regularity properties and dispersive blow-up for the fifth order Korteweg-de Vries equation on the line 2024 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ PDF Chat On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation 2024 Eddye Bustamante
J.M. Gutiérrez
Alexander Muñoz
+ PDF Chat Local well-posedness and regularity properties for an initial-boundary value problem associated to the fifth order Korteweg-de Vries equation 2024 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ Properties of the support of solutions of a class of nonlinear evolution equations 2022 Eddye Bustamante
José Jiménez Urrea
+ Propiedades del soporte de soluciones de una clase de ecuaciones de evolución no lineales en dos dimensiones 2021 Eddye Bustamante
José Jiménez Urrea
+ Properties of the Support of Solutions of a Class of 2-Dimensional Nonlinear Evolution Equations. 2021 Eddye Bustamante
José Jiménez Urrea
+ PDF Chat Periodic Cauchy problem for one two-dimensional generalization of the Benjamin–Ono equation in Sobolev spaces of low regularity 2019 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ Periodic Cauchy Problem for one Two-dimensional Generalization of the Benjamin-Ono Equation in Sobolev Spaces of Low Regularity 2019 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ Periodic Cauchy Problem for one Two-dimensional Generalization of the Benjamin-Ono Equation in Sobolev Spaces of Low Regularity 2019 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ PDF Chat The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations 2018 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ A note on the Ostrovsky equation in weighted Sobolev spaces 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ The Cauchy problem for a bidimensional generalization of the Benjamin-Ono equation in Sobolev spaces of low regularity 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ PDF Chat On the unique continuation property of solutions of the three-dimensional Zakharov–Kuznetsov equation 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ On the unique continuation property of solutions of the three-dimensional Zakharov-Kuznetsov equation 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ On the unique continuation property of solutions of the three-dimensional Zakharov-Kuznetsov equation 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations 2017 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ A note on the Ostrovsky equation in weighted Sobolev spaces 2016 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ A note on the Ostrovsky equation in weighted Sobolev spaces 2016 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ The Zakharov–Kuznetsov equation in weighted Sobolev spaces 2015 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
+ Cauchy problems for fifth-order KdV equations in weighted Sobolev spaces 2015 Eddye Bustamante
J. L. Jiménez
Jorge Mejía
+ The Zakharov-Kuznetsov equation in weighted Sobolev spaces 2014 Eddye Bustamante
Jose Rodrigo Bianchini Mendoza Jimenez
Jorge Mejía
+ The Zakharov-Kuznetsov equation in weighted Sobolev spaces 2014 Eddye Bustamante
J. L. Jiménez
Jorge Mejía
+ The Cauchy problem for a fifth order KdV equation in weighted Sobolev spaces 2013 Eddye Bustamante
Jose Rodrigo Bianchini Mendoza Jimenez
Jorge Mejía
+ On uniqueness properties of solutions of the Zakharov–Kuznetsov equation 2013 Eddye Bustamante
Pedro Isaza
Jorge Mejía
+ The Cauchy problem for a fifth order KdV equation in weighted Sobolev spaces 2013 Eddye Bustamante
J. L. Jiménez
Jorge Mejía
+ On uniqueness properties of solutions of the Ostrovsky equation with positive dispersion 2012 Eddye Bustamante
Pedro Isaza
Jorge Mejía
+ On the support of solutions to the Zakharov–Kuznetsov equation 2011 Eddye Bustamante
Pedro Isaza
Jorge Mejía
+ On the support of solutions to the Zakharov-Kuznetsov equation 2010 Eddye Bustamante
Pedro Isaza
Jorge Mejía
+ On the support of solutions to the Zakharov-Kuznetsov equation 2010 Eddye Bustamante
Pedro Isaza
Jorge Mejía
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ None 1997 Jean Bourgain
8
+ Unique continuation for some evolution equations 1987 Jean‐Claude Saut
Bruno Scheurer
7
+ The IVP for the Benjamin–Ono equation in weighted Sobolev spaces II 2011 Germán Fonseca
Felipe Linares
Gustavo Ponce
7
+ PDF Chat A decay property of solutions to the k-generalized KdV equation 2012 Joules Nahas
6
+ Well-posedness Results for the Modified Zakharov-Kuznetsov Equation 2003 H. A. Biagioni
Felipe Linares
6
+ On the Persistent Properties of Solutions to Semi-Linear Schrödinger Equation 2009 Joules Nahas
Gustavo Ponce
6
+ On the cauchy problem for the benjamin-ono equation 1986 Rafael José Iório
6
+ Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton 2010 Felipe Linares
Ademir Pastor
Jean–Claude Saut
6
+ Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
6
+ A note on the unique continuation property for Zakharov–Kuznetsov equation 2004 Mahendra Panthee
5
+ On the support of solutions to the g-KdV equation 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
5
+ Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation 2009 Felipe Linares
Ademir Pastor
5
+ 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
5
+ PDF Chat On the support of solutions to the generalized KdV equation 2002 Luis Vega
Carlos E. Kenig
Gustavo Ponce
5
+ On the Cauchy Problem for the Generalized Korteweg-de Vries Equation 2003 Luc Molinet
Francis Ribaud
5
+ The Cauchy problem associated to the Benjamin equation in weighted Sobolev spaces 2012 José Jiménez Urrea
5
+ PDF Chat The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces 2012 Germán Fonseca
Felipe Linares
Gustavo Ponce
5
+ On the support of solutions to the Zakharov–Kuznetsov equation 2011 Eddye Bustamante
Pedro Isaza
Jorge Mejía
5
+ None 2003 Herbert Koch
N. Tzvetkov
5
+ On uniqueness properties of solutions of the k-generalized KdV equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
4
+ PDF Chat Local and global well-posedness for the 2D generalized Zakharov–Kuznetsov equation 2010 Felipe Linares
Ademir Pastor
4
+ The Zakharov–Kuznetsov equation in weighted Sobolev spaces 2015 Eddye Bustamante
José Jiménez Urrea
Jorge Mejía
4
+ Carleman Type Estimates in an Anisotropic Case and Applications 1993 Victor Isakov
4
+ PDF Chat A bilinear estimate with applications to the KdV equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
3
+ PDF Chat On the global well-posedness of the Benjamin-Ono equation 1991 Gustavo Ponce
3
+ The IVP for the Benjamin–Ono equation in weighted Sobolev spaces 2010 Germán Fonseca
Gustavo Ponce
3
+ Singular Integrals and Differentiability Properties of Functions. 1971 Elias M. Stein
3
+ PDF Chat Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications 2014 Didier Pilod
Luc Molinet
3
+ Local well-posedness and quantitative ill-posedness for the Ostrovsky equation 2008 Pedro Isaza
Jorge Mejía
3
+ Collapse transformation for self-focusing solitary waves in boundary-layer type shear flows 1995 Dmitry E. Pelinovsky
Victor I. Shrira
3
+ PDF Chat Well-posedness of the initial value problem for the Korteweg-de Vries equation 1991 Carlos E. Kenig
Gustavo Ponce
Luis Vega
3
+ On uniqueness properties of solutions of the Zakharov–Kuznetsov equation 2013 Eddye Bustamante
Pedro Isaza
Jorge Mejía
3
+ PDF Chat On persistence properties in fractional weighted spaces 2015 Guilherme D. da Fonseca
Felipe Linares
Gustavo Ponce
3
+ PDF Chat Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory 2014 Felipe Linares
Didier Pilod
Jean‐Claude Saut
3
+ Global Cauchy problem for the Ostrovsky equation 2006 Pedro Isaza
Jorge Mejía
3
+ On the Korteweg-de Vries equation 1979 Tosio Kato
3
+ PDF Chat On the local and global well-posedness theory for the KP-I equation 2004 Carlos E. Kenig
3
+ Studies in Phase Space Analysis with Applications to PDEs 2013 Massimo Cicognani
Ferruccio Colombini
Daniele Del Santo
3
+ Cauchy problem for the Ostrovsky equation in spaces of low regularity 2006 Pedro Isaza
Jorge Mejía
2
+ PDF Chat Global well-posedness in the energy space for the Benjamin–Ono equation on the circle 2006 Luc Molinet
2
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
2
+ The Cauchy problem for the generalized Korteweg-de-Vries equation 2006 J. Ginibre
2
+ PDF Chat An initial boundary-value problem for the Zakharov-Kuznetsov equation 2010 Jean–Claude Saut
Roger Témam
2
+ PDF Chat Unique continuation principles for the Benjamin-Ono equation 2003 Rafael José Iório
2
+ PDF Chat On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations 2003 Carlos E. Kenig
Kenneth D. Koenig
2
+ PDF Chat On Uniqueness Properties of Solutions of Schrödinger Equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
2
+ PDF Chat A Note on the Cauchy problem for the 2D generalized Zakharov–Kuznetsov equations 2012 Francis Ribaud
Stéphane Vento
2
+ The initial-value problem for the Korteweg-de Vries equation 1975 Jerry L. Bona
R. Jeffrey Smith
2
+ On unique continuation for nonlinear Schrödinger equations 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
2
+ Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation 2012 Francis Ribaud
Stéphane Vento
2