Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights A Mercado, A Osses, L Rosier Inverse Problems 24 (1), 015017, 2008 | 102 | 2008 |
Local exact controllability to the trajectories of the 1-D Kuramoto–Sivashinsky equation E Cerpa, A Mercado Journal of Differential Equations 250 (4), 2024-2044, 2011 | 92 | 2011 |
Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation L Baudouin, E Cerpa, E Crépeau, A Mercado Applicable Analysis 92 (10), 2084-2102, 2013 | 50 | 2013 |
On the control of the linear Kuramoto− Sivashinsky equation E Cerpa, P Guzmán, A Mercado ESAIM: Control, Optimisation and Calculus of Variations 23 (1), 165-194, 2017 | 47 | 2017 |
A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem L Baudouin, A Mercado, A Osses Inverse Problems 23 (1), 257, 2007 | 43 | 2007 |
An inverse problem for Schrödinger equations with discontinuous main coefficient L Baudouin, A Mercado Applicable Analysis 87 (10-11), 1145-1165, 2008 | 42 | 2008 |
Null controllability of the stabilized Kuramoto--Sivashinsky system with one distributed control E Cerpa, A Mercado, AF Pazoto SIAM Journal on Control and Optimization 53 (3), 1543-1568, 2015 | 30 | 2015 |
On the determination of the principal coefficient from boundary measurements in a KdV equation L Baudouin, E Cerpa, E Crépeau, A Mercado Journal of Inverse and Ill-posed Problems 22 (6), 819-845, 2014 | 23 | 2014 |
On the boundary control of a parabolic system coupling KS-KdV and heat equations E Cerpa, A Mercado, AF Pazoto Sci. Ser. A Math. Sci 22, 55-74, 2012 | 23 | 2012 |
Boundary controllability of a cascade system coupling fourth-and second-order parabolic equations N Carreño, E Cerpa, A Mercado Systems & Control Letters 133, 104542, 2019 | 21 | 2019 |
Internal null controllability of a linear Schrödinger–KdV system on a bounded interval FD Araruna, E Cerpa, A Mercado, MC Santos Journal of Differential Equations 260 (1), 653-687, 2016 | 16 | 2016 |
Uniform null controllability of a fourth-order parabolic equation with a transport term M López-García, A Mercado Journal of Mathematical Analysis and Applications 498 (2), 124979, 2021 | 14 | 2021 |
An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound R Arancibia, R Lecaros, A Mercado, S Zamorano Journal of Inverse and Ill-posed Problems 30 (5), 659-675, 2022 | 12 | 2022 |
Null controllability of a cascade system of Schrödinger equations M Lopez-Garcia, A Mercado, L De Teresa Texas State University, Department of Mathematics, 2016 | 11 | 2016 |
Carleman inequalities and inverse problems for the Schrödinger equation A Mercado, A Osses, L Rosier Comptes Rendus. Mathématique 346 (1-2), 53-58, 2008 | 9 | 2008 |
Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation D Gajardo, A Mercado, JC Muñoz Journal of Mathematical Analysis and Applications 495 (2), 124747, 2021 | 6 | 2021 |
Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system V Hernández-Santamaría, A Mercado, P Visconti Acta Applicandae Mathematicae 188 (1), 17, 2023 | 5 | 2023 |
Carleman estimates for the wave equation in heterogeneous media with non-convex interface L Baudouin, P Godoy, A Mercado Journal of Differential Equations 311, 1-28, 2022 | 4 | 2022 |
Exact controllability for the semilinear Mindlin-Timoshenko system GO Antunes, FD Araruna, A Mercado Journal of Mathematical Analysis and Applications 480 (2), 123432, 2019 | 4 | 2019 |
An inverse inequality for some transport–diffusion equation. Application to the regional approximate controllability S Guerrero, A Mercado, A Osses Asymptotic Analysis 52 (3-4), 243-257, 2007 | 3 | 2007 |