Postdoctoral Researcher
My research interests are focused on the singularity formation for nonlinear parabolic PDEs (blow-up, quenching, gradient blow-up), optimal control theory and Hamilton-Jacobi equations, and differential games applied to degenerate elliptic equations.

Carlos Esteve Yagüe is a Postdoctoral Researcher at the ERC Advanced Grant project DyCon at Deusto Chair of Computational Mathematics under the supervision of Prof. Enrique Zuazua (FAUUniversity of Deusto and Universidad Autónoma de Madrid). He earned his PhD on analysis of nonlinear parabolic partial differential equations under the supervision of Prof. Philippe Souplet (Université Paris 13).

  • PhD in Applied Mathematics (2015 - 2019). Université Paris 13, France
  • MSc in Fundamental Mathematics (2014 - 2015). Université Paris 13, France
  • BSc in Mathematics (2010 - 2014). Universidad de Alicante, Spain

Released

The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes

Esteve C., Zuazua E.. The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes SIAM J. Math. Anal., Vol. 52, No ...
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Accepted

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Submitted

Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new ...
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Sparse approximation in learning via neural ODEs

Esteve C., Geshkovski B. Sparse approximation in learning via neural ODEs (2021) Abstract. We consider the continuous-time, neural ordinary differential equation ...
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Differentiability with respect to the initial condition for Hamilton-Jacobi equations

Esteve C., Zuazua E.. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2021) Abstract. We prove that the ...
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The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation Abstract: In ...
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Large-time asymptotics in deep learning

Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known ...
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Multilevel Selective Harmonic Modulation via Optimal Control

Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe Umberto Biccari. Multilevel Selective Harmonic Modulation via Optimal Control. (2021) Abstract. We consider the Selective Harmonic ...
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Meet our team!