Publications
Projects

Dr. Carlos Guzman Jimenez

Email • PhD in Mathematics, UFMG
Partial Differential Equations (PDEs)

Visiting Scientist
UFF, Fluminense Federal University (Brazil)
Host: Enrique Zuazua
Room 03.311 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik

Research Gate | Google Scholar

I am a visiting scientist at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg, Bavaria (Germany).

I hold a Bachelor’s degree in Mathematics from the Universidad Nacional de Trujillo, Peru (2008), and a Master’s degree (2012) and PhD in Mathematics (2016) from the Federal University of Minas Gerais (UFMG), where I received the award for Best Doctoral Thesis.
In 2018 I completed a postdoctoral fellowship at UFMG supported by a CAPES grant (2017–2018).

I am currently an Associate Professor at the Federal Fluminense University (UFF), holding a CNPq Research Productivity grant (PQ-2, 2023–present) and a Young Scientist of Our State fellowship (FAPERJ, 2022–present).
My research focuses on Partial Differential Equations, especially dispersive equations, including well-posedness, scattering, and stability.

I serve as an ad hoc reviewer for international journals, including Journal of Differential Equations, Nonlinearity, and Calculus of Variations and Partial Differential Equations, and I’m involved in graduate supervision and research projects.
I also participate in the Brazil-Germany PROBRAL CAPES-DAAD project “Control and numerical analysis of complex systems” between UFF, Federal Fluminense University and FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (2024 – 2027).

  

 

Research interests

My research focuses on Partial Differential Equations (PDEs), particularly
• dispersive equations,
• well-posedness, scattering, and stability

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Projects

• PROBRAL CAPES-DAAD: “Control and numerical analysis of complex systems”, between UFF, Federal Fluminense University and FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (2024 – 2027)

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Publications

2025

  • Guzman C.M., & C. Xu (2025) Dynamics of the Non-radial Energy-critical Inhomogeneous NLS, Potential Analysis, Vol. 63, No. 2, pp. 601-630
  • Silva, F., Gonzalez, K., & Jordão, T. (2025).

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2022

  • Campos L., & Guzman C.M. (2022) Scattering for the non-radial inhomogenous biharmonic NLS equation, Calculus of Variations and Partial Differential Equations, Vol. 61, No. 4, pp. 156

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2021

  • Guzmán C.M., & Murphy J. (2021) Scattering for the non-radial energy-critical inhomogeneous NLS, Journal of Differential Equations, Vol. 295, pp. 187-210

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2017

  • Farah L.G., & Guzmán C.M. (2017) On well posedness for the inhomogeneous nonlinear Schrödinger equation, Nonlinear Analysis: Real World Applications, Vol. 37, pp. 249-286
  • Guzmán C.M. (2017) Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation, Journal of Differential Equations, Vol. 262, No. 8, pp. 4175-4231

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