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 holds a Postdoctoral position 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

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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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

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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Submitted

Large-time asymptotics in deep learning

C. Esteve, B. Geshkovski, D. Pighin, E. Zuazua. Large-time asymptotics in deep learning (2020). hal-02912516 Abstract. It is by now well-known ...
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The Turnpike property and the long-time behavior of the Hamilton-Jacobi equation

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The Turnpike property and the long-time behavior of the Hamilton-Jacobi equation Abstract: In ...
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The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes

Carlos Esteve, Enrique Zuazua. The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes (2020) Abstract. We study the inverse problem, ...
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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 (2019) Abstract. ⎧⎩⎨⎪⎪ut(x,t)−λj(D2u(x,t))=0,u(x,t)=g(x,t),u(x,0)=u0(x),in Ω×(0,+∞),on ∂Ω×(0,+∞),in Ω, where ...
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coming soon!

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