Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new proof of the turnpike property…
View More Turnpike in Lipschitz-nonlinear optimal controlCategory: Carlos Esteve
Publication author is Carlos Esteve
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 (neural ODE) perspective of deep…
View More Sparse approximation in learning via neural ODEsDifferentiability 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 viscosity solution to a Hamilton-Jacobi…
View More Differentiability with respect to the initial condition for Hamilton-Jacobi equationsThe 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 this work, we analyze the…
View More The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equationLarge-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 that practical deep supervised learning…
View More Large-time asymptotics in deep learningMultilevel 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 Modulation (SHM) problem, consisting in…
View More Multilevel Selective Harmonic Modulation via Optimal ControlThe 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. 6, pp. 5627–5657 (2020). https://doi.org/10.1137/20M1330130…
View More The Inverse Problem for Hamilton-Jacobi equations and Semiconcave EnvelopesUpper bounds for the decay rate in a nonlocal p-Laplacian evolution problem
C. Esteve, J.D. Rossi, A. San Antolín. Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem. BOUND VALUE PROBL (2014), pp. 109.…
View More Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problemQuantitative 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 (2018). DOI: 10.1088/1361-6544 Abstract. We…
View More Quantitative touchdown localization for the MEMS problem with variable dielectric permittivityThe 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. (2020). https://doi.org/10.1112/jlms.12363 Abstract. In this…
View More The evolution problem associated with eigenvalues of the HessianSingle-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, Vol 137 (2020) pp. 143-177,…
View More Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvatureNo 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. Differential Equ. Vol. 24, No.…
View More No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem