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Luiz Gustavo Farah

Observed names: Farah, Luiz Gustavo, Luiz Farah, Luiz G. Farah
ORCID: 0000-0003-1034-3480
Observed ORCID: 0000-0003-1034-3480
OpenAlex ID: A5035893041
Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
2015 · Luiz G. Farah · Journal of Evolution Equations · 118
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Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation
2017 · Luiz Gustavo Farah, Carlos M. Guzmán · Journal of Differential Equations · 81
Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
2009 · Luiz Gustavo Farah · Communications in Partial Differential Equations · 81
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A note on the 2D generalized Zakharov–Kuznetsov equation: Local, global, and scattering results
2012 · Luiz G. Farah, Felipe Linares, et al. · Journal of Differential Equations · 70
Scattering for the Radial Focusing Inhomogeneous NLS Equation in Higher Dimensions
2019 · Luiz Gustavo Farah, Carlos M. Guzmán · Bulletin of the Brazilian Mathematical Society New Series · 55
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On the periodic “good” Boussinesq equation
2009 · Luiz Farah, Márcia Scialom · Proceedings of the American Mathematical Society · 40
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Local well-posedness for the sixth-order Boussinesq equation
2011 · Amin Esfahani, Luiz Gustavo Farah · Journal of Mathematical Analysis and Applications · 37
On the periodic Schrödinger–Boussinesq system
2010 · Luiz Gustavo Farah, Ademir Pastor · Journal of Mathematical Analysis and Applications · 32
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Global existence and blow-up for the generalized sixth-order Boussinesq equation
2012 · Amin Esfahani, Luiz Gustavo Farah, et al. · Nonlinear Analysis · 30
The supercritical generalized KdV equation: Global well-posedness in the energy space and below
2011 · Luiz G. Farah, Felipe Linares, et al. · Mathematical Research Letters · 30
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Scattering below the ground state for the intercritical non-radial inhomogeneous NLS
2022 · Mykael Cardoso, Luiz Gustavo Farah, et al. · Nonlinear Analysis Real World Applications · 27
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Global rough solutions to the critical generalized KdV equation
2010 · Luiz Gustavo Farah · Journal of Differential Equations · 26
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Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation
2009 · Luiz Gustavo Farah · Communications on Pure &amp Applied Analysis · 25
Threshold solutions for the nonlinear Schrödinger equation
2022 · Luccas Campos, Luiz Gustavo Farah, et al. · Revista Matemática Iberoamericana · 22
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Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation
2023 · Luiz Gustavo Farah, Justin Holmer, et al. · American Journal of Mathematics · 20
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Blow-up of radial solutions for the intercritical inhomogeneous NLS equation
2021 · Mykael Cardoso, Luiz Gustavo Farah · Journal of Functional Analysis · 19
Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation
2018 · Farah, Luiz Gustavo, Holmer, Justin, et al. · arXiv (Cornell University) · 19
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Large data scattering for the defocusing supercritical generalized KdV equation
2018 · Luiz G. Farah, Felipe Linares, et al. · Communications in Partial Differential Equations · 18
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Large data asymptotic behaviour for the generalized Boussinesq equation
2008 · Luiz Gustavo Farah · Nonlinearity · 18
Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation
2019 · Debdeep Bhattacharya, Luiz Gustavo Farah, et al. · Journal of Differential Equations · 16
Instability of Solitons in the 2d Cubic Zakharov-Kuznetsov Equation
2019 · Luiz Gustavo Farah, Justin Holmer, et al. · Fields Institute communications · 16
Scattering for a 3D coupled nonlinear Schrödinger system
2017 · Luiz Gustavo Farah, Ademir Pastor · Journal of Mathematical Physics · 14
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Global rough solutions to the cubic nonlinear Boussinesq equation
2009 · Luiz Gustavo Farah, Felipe Linares · Journal of the London Mathematical Society · 14
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Blow-up of non-radial solutions for the L 2 critical inhomogeneous NLS equation
2022 · Mykael Cardoso, Luiz Gustavo Farah · Nonlinearity · 13
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On Well-Posedness and Concentration of Blow-Up Solutions for the Intercritical Inhomogeneous NLS Equation
2021 · Mykael Cardoso, Luiz Gustavo Farah, et al. · Journal of Dynamics and Differential Equations · 13
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Works count: 49
Citation count: 970
H-index: 18
I10-index: 29
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