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Jorge Mejía

National University of Colombia

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Publication

Featured researches published by Jorge Mejía.

Communications in Partial Differential Equations | 2001

LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES

Pedro Isaza; Jorge Mejía

It is proved that the Cauchy problem for the Kadomtsev-Petviashvili II (KPII) equation is locally well posed in the anisotropic Sobolev spaces H s 1 s 2 (R 2) with s 1 > −⅓ and s 2 ≥ 0, and globally well posed in H s 10(R 2) with s 1 > − . This article is partially supported by Colciencias, Colombia, grant: 1118-05-605-96.

Nonlinear Analysis-theory Methods & Applications | 2007

Global Cauchy problem for the Ostrovsky equation

Pedro Isaza; Jorge Mejía

Journal of Differential Equations | 2006

Cauchy problem for the Ostrovsky equation in spaces of low regularity

Pedro Isaza; Jorge Mejía

Journal of Differential Equations | 2011

On the support of solutions to the Zakharov–Kuznetsov equation

Eddye Bustamante; Pedro Isaza; Jorge Mejía

Journal of Differential Equations | 2009

On the support of solutions to the Ostrovsky equation with negative dispersion

Pedro Isaza; Jorge Mejía

Nonlinear Analysis-theory Methods & Applications | 2009

Local well-posedness and quantitative ill-posedness for the Ostrovsky equation

Pedro Isaza; Jorge Mejía

Nonlinear Analysis-theory Methods & Applications | 2010

On the support of solutions to the Ostrovsky equation with positive dispersion

Pedro Isaza; Jorge Mejía

Journal of Mathematical Analysis and Applications | 2016

The Zakharov–Kuznetsov equation in weighted Sobolev spaces☆

Eddye Bustamante; José Jiménez Urrea; Jorge Mejía

Revista Colombiana de Matemáticas | 1997

Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation

Pedro Isaza; Jorge Mejía; Volker Stallbohm

Journal of Functional Analysis | 2013

On uniqueness properties of solutions of the Zakharov–Kuznetsov equation☆

Eddye Bustamante; Pedro Isaza; Jorge Mejía

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Pedro Isaza

National University of Colombia

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Eddye Bustamante

National University of Colombia

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José Jiménez Urrea

National University of Colombia

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Volker Stallbohm

National University of Colombia

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