Preface: A tribute to professor Eduardo Casas on his 60th birthday
Fernández L.A., Mateos M., Pola C., Tröltzsch F., Zuazua E. Preface: A tribute to professor Eduardo Casas on his 60th birthday MATH CONTROL RELAT F. Vol. 8, No. 1 (2018)…
Controllability under positivity constraints of semilinear heat equations
Pighin, D., Zuazua, E. Controllability under positivity constraints of semilinear heat equations MATH CONTROL RELAT F., Vol. 8, No. 3-4 (2018). DOI: 10.3934/mcrf.2018041 Abstract: In many practical applications of control…
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. 17 (2018). DOI: 10.1007/978-3-319-97613-6 Abstract:…
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 article is devoted to studying…
Null controllability for wave equations with memory
Lu Q., Zhang X., Zuazua E. Null controllability for wave equations with memory, J. Math. Pures Appl., Vol. 108, No. 4 (2017), pp. 500-531. DOI: 10.1016/j.matpur.2017.05.001 Abstract: We study the…
Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation
L. Gosse, E. Zuazua. Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Innovative Algorithms and Analysis,Gosse, Laurent, Natalini, Roberto (Eds.), Springer INdAM Series 16, 2017, 197-228. DOI:…
Averaged controllability of parameter dependent conservative semigroups
Lohéac J., Zuazua E. Averaged controllability of parameter dependent conservative semigroups Journal of Differential Equations, 262 (3) (2017), 1540–1574 DOI: 10.1016/j.jde.2016.10.017 Abstract: We consider the problem of averaged controllability for…
Minimal controllability time for the heat equation under unilateral state or control constraints
Lohéac J., Trélat E., Zuazua E. Minimal controllability time for the heat equation under unilateral state or control constraints . Mathematical Models and Methods in Applied Sciences, Volume 27, Issue 09,…
Local elliptic regularity for the Dirichlet fractional Laplacian
U. Biccari, M. Warma, E. Zuazua Local elliptic regularity for the Dirichlet fractional Laplacian Advanced Nonlinear Studies, Vol. 17, Nr. 2 (2017), pp. 387-409. DOI: 10.1515/ans-2017-0014 Abstract: We analyze the…
Addendum: Local elliptic regularity for the Dirichlet fractional Laplacian
U. Biccari, M. Warma, E. Zuazua Addendum: Local elliptic regularity for the Dirichlet fractional Laplacian Adv. Nonlinear Stud., Vol. 17, Nr. 4 (2017), pp. 837-839. DOI: 10.1515/ans-2017-6020 Abstract: In [1],…
Large time control and turnpike properties for wave equations
Zuazua E. Large time control and turnpike properties for wave equations ANNU REV CONTROL. Vol. 40 (2017), pp. 199-210 DOI: 10.1016/j.arcontrol.2017.04.002 Abstract: In the last decades mathematical control theory has…
Actuator design for parabolic distributed parameter systems with the moment method
Privat Y., Trélat E., Zuazua E. Actuator design for parabolic distributed parameter systems with the moment method SIAM J CONTROL OPTIM. Vol. 55, No. 2 (2017), pp. 1128–1152. DOI: 10.1137/16M1058418…
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
Privat Y., Trélat E., Zuazua E. Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains J EUR MATH SOC. Vol. 18, No. 5 (2016), pp. 1043–1111…
Dispersion for 1-D Schrödinger and wave equations with BV coefficients
Beli C. N., Ignat L. I., Zuazua E. Dispersion for 1-D Schrödinger and wave equations with BV coefficients ANN I H POINCARE-AN. Vol. No. 33 (2016), pp. 1473-1495. DOI: 10.1016/j.anihpc.2015.06.002…
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: The propagation of the sonic-boom…
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis
Ervedoza S., Marica A., Zuazua E. Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis IMA J NUMER ANAL. Vol. 36, No. 2 (2016), pp. 503–542. DOI: 10.1093/imanum/drv026…
Averaged controllability for random evolution Partial Differential Equations
Lu Q., Zuazua E. Averaged controllability for random evolution Partial Differential Equations J MATH PURE APPL. Vol. 105, No. 3 (2016)., pp. 367–414. DOI: 10.1016/j.matpur.2015.11.004 Abstract: We analyze the averaged…
Numerical aspects of large-time optimal control of Burgers equation
Allahverdi N., Pozo A., Zuazua E. Numerical aspects of large-time optimal control of Burgers equation ESAIM-MATH MODEL NUM. Vol. 50. No. 5 (2016). DOI: 10.1051/m2an/2015076 Abstract: In this paper, we…
Remarks on Long Time Versus Steady State Optimal Control
Porretta A., Zuazua E. Remarks on Long Time Versus Steady State Optimal Control Mathematical Paradigms of Climate Science -Springer INdAM Series, Vol. 15 (2016), pp 67-89, DOI: 10.1007/978-3-319-39092-5_5 Abstract: Control…
Exact penalization of terminal constraints for optimal control problems
Gugat M., Zuazua E. Exact penalization of terminal constraints for optimal control problems >OPTIM CONTR APPL MET., Vol. 37, No. 6 (2016), pp. 1329–1354, DOI: 10.1002/oca.2238 Abstract: We study optimal…
Randomised observation, control and stabilization of waves
Privat Y., Trélat E., Zuazua E. Randomised observation, control and stabilization of waves J Appl Math Mech Z Angew Math Mech. Vol. 96, No. 5 (2016), pp. 538-549, DOI: 10.1002/zamm.201500181…
On the lack of controllability of fractional in time ODE and PDE
Lu Q., Zuazua E. On the lack of controllability of fractional in time ODE and PDE MATH CONTROL SIGNAL. Vol. No. 2 (2016), pp. 28:10 ,DOI: 10.1007/s00498-016-0162-9 Abstract: This paper…
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 SYST CONTROL LETT. Vol. No.…
Optimal strategies for driving a mobile agent in a “guidance by repulsion” model
Escobedo R., Ibañez A., Zuazua E Optimal strategies for driving a mobile agent in a “guidance by repulsion” model COMMUN NONLINEAR SCI., Vol.39 (2016), pp. 58-72, DOI: 10.1016/j.cnsns.2016.02.017 Abstract: We…
Stable observation of additive superpositions of Partial Differential Equations
E. Zuazua. Stable observation of additive superpositions of Partial Differential Equations. Syst. Control. Lett. Vol.93 (2016), pp. 21–29, DOI: 10.1016/j.sysconle.2016.02.017 Abstract: We address the problem of observing the solutions of a…
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 linear finite dimensional control system…
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms
Fernández-Cara E., Lu Q., Zuazua E. Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms SIAM J. Control Optim. Vol. 54, No.4 (2019) DOI: 10.1137/15M1044291 Abstract: In…
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
U. Biccari, E. Zuazua Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function J. Differential Equations, Vol. 261, No. 5 (2016),…
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 time decay rates of a…
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 for parameter-dependent linear finite-dimensional systems.…
Norm saturating property of time optimal controls for wave-type equations
Lohéac. J, Zuazua E. Norm saturating property of time optimal controls for wave-type equations IFAC-PapersOnLine, Vol. 49, No.8 (2016), pp. 37-42. DOI: 10.1016/j.ifacol.2016.07.415 Abstract: We consider a time optimal control…
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...
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.