## Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2022) Nonlinearity. Abstract. We present a new proof of the turnpike…

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## Control and Numerical approximation of Fractional Diffusion Equations

Umberto Biccari, Mahamadi Warma, Enrique Zuazua. Control and Numerical approximation of Fractional Diffusion Equations (2022) Handb. Numer. Anal. Elsevier. ISSN:1570-8659, DOI: https://doi.org/10.1016/bs.hna.2021.12.001 Abstract. The aim of…

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## Flow decomposition for heat equations with memory

G. Wang, Y. Zhang, E. Zuazua. Flow decomposition for heat equations with memory (2022) J. Math. Pures Appl, Vol. 158, pp 183-215, ISSN:0021-7824. https://doi.org/10.1016/j.matpur.2021.11.005 Abstract.…

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## Sidewise control of 1-d waves

Y. Sarac, E. Zuazua. Sidewise control of 1-d waves. J Optim Theory Appl (2022). https://doi.org/10.1007/s10957-021-01986-w Abstract. We analyze the sidewise controllability for the variable coefficients…

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## Constrained control of gene-flow models

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…

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## Controllability of one-dimensional viscous free boundary flows

B. Geshkovski, E. Zuazua. Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim (2021), Vol. 59, No. 3, pp. 1830–1850. https://doi.org/10.1137/19M1285354 Abstract. In…

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## Nonnegative control of finite-dimensional linear systems

Lohéac J., Trélat E., Zuazua E. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An., Vol. 38, No. 2, pp. 301-346. (2021) DOI: https://doi.org/10.1016/j.anihpc.2020.07.004…

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## Shape turnpike for linear parabolic PDE models

Lance G., Trélat E., Zuazua E. Shape turnpike for linear parabolic PDE models  Syst. Control. Lett. Vol. 142 (2020). DOI: 10.1016/j.sysconle.2020.104733 Abstract: We introduce and…

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## Turnpike in optimal shape design

G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design IFAC-PapersOnline, Vol. 52, No. 16 (2019), pp. 496-501, ISSN: 24058963, DOI: 10.1137/17M1119160 Abstract: We…

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## Controllability of shadow reaction-diffusion systems

Hernández-Santamaría V., E. Zuazua. Controllability of shadow reaction-diffusion systems.  J Differ Equations, Vol. 268, No. 7, pp. 3781-3818 (2020). DOI: 10.1016/j.jde.2019.10.012 Abstract: We study the…

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## Local regularity for fractional heat equations

U. Biccari, M. Warma, E. Zuazua Local regularity for fractional heat equations<, Recent Advances in PDEs: Analysis, Numerics and Control, SEMA SIMAI Springer Series, Vol.…

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## Controllability of Evolution Equations with Memory

Felipe W. Chaves-Silva, Xu Zhang, and Enrique Zuazua Controllability of Evolution Equations with Memory. SIAM J. Control Optim., 55(4), 2437–2459. (23 pages) DOI: 10.1137/151004239 Abstract: This…

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## Numerical aspects of sonic-boom minimization

Allahverdi N., Pozo A., Zuazua E. Numerical aspects of sonic-boom minimization COMMUN CONTEMP MATH. Vol. No. 658 (2016), pp. 267 – 279. DOI: 10.1090/conm/658/13133 Abstract:…

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## Optimal Neumann control for the 1D wave equation

Gugat M., Trélat E., Zuazua E. Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property…

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## From averaged to simultaneous controllability

Lohéac J., Zuazua E. From averaged to simultaneous controllability Ann. Fac. Sci. Toulouse Math. Vol.25, No.4 (2016), pp. 785-828, DOI: 10.5802/afst.1511 Abstract: We consider a…

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## Decay rates for 1−d heat-wave planar networks

Han Z.-J., Zuazua E. Decay rates for 1−d heat-wave planar networks NETW HETEROG MEDIA. Vol. 11, No. 4 (2016), pp. 655–692,DOI: 10.3934/nhm.2016013 Abstract: The large…

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## Greedy controllability of finite dimensional linear systems

Lazar M., Zuazua E. Greedy controllability of finite dimensional linear systems Automatica, Vol.74 (2016), pp. 327-340 DOI: 10.1016/j.automatica.2016.08.010 Abstract: We analyse the problem of controllability…

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## Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems

We analyze the inverse problem of identifying the diffusivity coefficient of a scalar elliptic equation as a function of the resolvent operator. We prove that, within the class of measurable coefficients, bounded above and below by positive constants, the resolvent determines the diffusivity in an unique manner…

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## Numerical hypocoercivity for the Kolmogorov equation

We prove that a finite-difference centered approximation for the Kolmogorov equation in the whole space preserves the decay properties of continuous solutions as $t \to \infty$, independently of the mesh-size parameters.

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