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 at Deusto Chair of Computational Mathematics under the supervision of Prof. Enrique Zuazua (FAU, University 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

Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws

C. Esteve, E. Zuazua. Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws Nonlinear Analysis, Vol. 227, ...
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Multilevel Selective Harmonic Modulation via Optimal Control

U. Biccari, C. Esteve-Yagüe, D.J. Oroya-Villalta (2022) Multilevel Selective Harmonic Modulation via Optimal Control., Appl Math Optim, Vol. 86, No. 43, ...
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Differentiability with respect to the initial condition for Hamilton-Jacobi equations

C. Esteve, E. Zuazua. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2022) SIAM Journal on Mathematical Analysis, ...
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The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional ...
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Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control Nonlinearity. Vol 5. No. 34, pp ...
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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

Large-time asymptotics in deep learning

C. Esteve, B. Geshkovski, D. Pighin, E. Zuazua (2025) Large-time asymptotics in deep learning, https://hal.archives-ouvertes.fr/hal-02912516 Abstract. We consider the neural ODE ...
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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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