48 citations · 284 across the 73 of their papers we have counts for
84 papers
Null control of heat equations with analytic memory kernels
Qi Lü, Xu Zhang, Enrique Zuazua
We analyze the control properties of heat equations with memory terms. We recall previous results showing that if the moving support of the control covers the whole domain where he…
Boundary observation and control for fractional heat and wave equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We establish boundary null controllability of the heat equation driven by the integral fractional Laplacian on a bounded smooth domain for every and every fractional…
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…
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…
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,…
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…