Associated 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 an Associated Researcher at the ERC Advanced Grant project DyCon 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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Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity

C. Esteve, Ph Souplet. Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity, NONLINEARITY, Vol. 31, No. 11 ...
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The evolution problem associated with eigenvalues of the Hessian

P. Blanc, C. Esteve, J. D. Rossi. The evolution problem associated with eigenvalues of the Hessian. J. London Math. Soc ...
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Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvature

C. Esteve Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvatureJ MATH PURE APPL, ...
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No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem

C. Esteve, Ph. Souplet, No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem Adv ...
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Accepted

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Submitted

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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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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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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Meet our team!