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20122025
most citedOptimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains

13 citations · 31 across the 24 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.OC2023

Uniform Turnpike Property and Singular Limits

Martin Hernandez, Enrique Zuazua

Motivated by singular limits for long-time optimal control problems, we investigate a class of parameter-dependent parabolic equations. First, we prove a turnpike result, uniform w…

math.OC2023

Fourier series and sidewise profile control of 1-d waves

E. Zuazua

We discuss the sidewise control properties of 1-d waves. In analogy with classical control and inverse problems for wave propagation, the problem consists on controlling the behavi…

math.OC20231 cited

Control of neural transport for normalizing flows

Domènec Ruiz-Balet, Enrique Zuazua

Inspired by normalizing flows, we analyze the bilinear control of neural transport equations by means of time-dependent velocity fields restricted to fulfill, at any time instance,…

math.AP2023

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

Timothée Crin-Barat, Ling-Yun Shou, Enrique Zuazua

A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability…

cs.LG2023

Approximate and Weighted Data Reconstruction Attack in Federated Learning

Yongcun Song, Ziqi Wang, Enrique Zuazua

Federated Learning (FL) is a distributed learning paradigm that enables multiple clients to collaborate on building a machine learning model without sharing their private data. Alt…

math.NA2023

Finite element approximation of the Hardy constant

Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat +3

We consider finite element approximations to the optimal constant for the Hardy inequality with exponent in bounded domains of dimension or . For finite eleme…