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,…

Constrained control of gene-flow models

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

I. Mazari, D. Ruiz-Balet, E. Zuazua (2023)Constrained control of gene-flow models, Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the transfer…

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…

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…

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

Constrained control of gene-flow models

Control of neural transport for normalizing flows

Control of certain parabolic models from biology and social sciences

Multilevel Selective Harmonic Modulation via Optimal Control

Turnpike in optimal control and beyond: a survey

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

Pointwise constraints for scalar conservation laws with positive wave velocity

Gaussian Beam ansatz for finite difference wave equations

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