Accepted – cmc.deusto.eus

Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics

K. Liu, E. Zuazua (2025) Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics Math. Models Methods Appl. Sci., arXiv:2412.01619v1 Abstract. In this work, we address three non-convex…

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

Crin-Barat T., De Nitti N., Zuazua E. (2025) On the decay of one-dimensional locally and partially dissipated and hyperbolic systems, ESAIM:COCV, https://arxiv.org/abs/2206.00555 Abstract. We study the time-asymptotic behavior of linear…

Tracking controllability for the heat equation

J.A. Barcena-Petisco, E. Zuazua (2025) Tracking controllability for the heat equation, IEEE Trans. Autom. Control Abstract. We study the tracking or sidewise control- lability of the heat equation. More precisely,…

Boundary sidewise observability of the wave equation

B. Dehman, E. Zuazua (2025) Boundary sidewise observability of the wave equation J. Eur. Math. Soc. (JEMS) Abstract. The wave equation on a bounded domain of Rn with non homogeneous…

Almost periodic turnpike phenomenon for time-dependent systems

S. Zamorano (2025)Almost periodic turnpike phenomenon for time-dependent systems Systems and Control Letters Abstract. This paper explores the turnpike behavior of a controlled system with almost periodic inputs and a…

Finite element approximation of the Hardy constant

F. Della Pietra, G. Fantuzzi, LI Ignat, AL Masiello, G. Paoli, E. Zuazua (2024)Finite element approximation of the Hardy constant J. Convex Anal. Special Issue Giuseppe Buttazzo 70 Abstract. We…

Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings

GM. Coclite, N. De Nitti, F. Maddalena, G. Orlando, E. Zuazua (2024) Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings M3AS Abstract. We study…

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system

T. Crin-Barat, E. Zuazua. Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: Application to the nonlinearly damped p-system (2024) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire,…

Control of neural transport for normalizing flows

D. Ruiz-Balet, E. Zuazua. Control of neural transport for normalizing flows (2023) J. Math. Pures Appl. https://doi.org/10.48550/arXiv.2307.07817 Abstract. Inspired by normalizing flows, we analyze the bilinear control of neural transport…

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

G.M. Coclite, De Nitti N., Zuazua E.. Long-time convergence of a nonlocal Burgers' equation towards the local N-wave (2023) CVGMT Abstract. We study the long-time behavior of the unique weak…

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences(2022) Math Control and Related Fields, Vol. 12, No. 4, pp 955-1038. doi: https://doi.org/10.3934/mcrf.2022032 Abstract. These…

Neural ODE Control for Classification, Approximation and Transport

data classification, deep learning, Neural ODEs, Optimal Transport, simultaneous control, transport equations, universal approximation, Wasserstein distance

Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2023), SIAM Review, Vol. 65, No. 3, pp. 735-773, https://doi.org/10.1137/21M1411433 Abstract. We analyze Neural Ordinary Differential Equations (NODEs)…

Greedy search of optimal approximate solutions

M. Lazar, E. Zuazua. Greedy search of optimal approximate solutions (2022) Commun. Optim. Theory Abstract. In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed…

Analysis and numerical solvability of backward-forward conservation laws

Thibault Liard, Enrique Zuazua. Analysis and numerical solvability of backward-forward conservation laws (2022) SIAM Journal on Mathematical Analysis Abstract. In this paper, we study the problem of initial data identification…

Constrained control of gene-flow models

bistable equations, Control, geneflow models, non-controllability, reaction-diffusion equations, spatial heterogeneity, staircase method

Mazari I., Ruiz-Balet D., Zuazua E. Constrained control of gene-flow models. (2021) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the…

Multilevel Selective Harmonic Modulation via Optimal Control

Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta. Multilevel Selective Harmonic Modulation via Optimal Control. (2022) Applied Mathematics and Optimization Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in the…

Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

Tracking controllability for the heat equation

Boundary sidewise observability of the wave equation

Almost periodic turnpike phenomenon for time-dependent systems

Finite element approximation of the Hardy constant

Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system

Control of neural transport for normalizing flows

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

Control of certain parabolic models from biology and social sciences

Neural ODE Control for Classification, Approximation and Transport

Greedy search of optimal approximate solutions

Analysis and numerical solvability of backward-forward conservation laws

Constrained control of gene-flow models

Multilevel Selective Harmonic Modulation via Optimal Control

A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation

Control of neural transport for normalising flows

Finite element approximation of the Hardy constant

Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings

Fourier series and sidewise control of 1-d waves