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Eddye Bustamante
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All published works
Action
Title
Year
Authors
+
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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
Coauthor
Papers Together
Jorge Mejía
27
José Jiménez Urrea
20
Pedro Isaza
5
J. L. Jiménez
3
Jose Rodrigo Bianchini Mendoza Jimenez
2
Alexander Muñoz
1
José Manuel Gutiérrez Jiménez
1
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