Alberto Mercado Saucedo

Línea de Investigación:

Control de Ecuaciones Diferenciales Parciales y Problemas Inversos

Información:

  • Grado Académico: Ph.D Universidad de Chile - Université de Versailles (Francia)
  • Campus: Casa Central
  • Email: alberto.mercado@usm.cl
  • Sitio Web

Publicaciones Recientes

Núm. Autores Artículo Revista Año
18

D. Gajardo, A. Mercado, J. C. Muñoz

Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation

Journal of Mathematical Analysis and Applications Volume 495, Issue 2, 15 March 2021, 124747

2021
17

A. Mercado, M. López-García.

Uniform null controllability of a fourth-order parabolic equation with a transport term

Journal of Mathematical Analysis and Applications, 498, (2), Paper No. 124979, 28, (2021).

2021
16

N. Carreño, E. Cerpa, A. Mercado

Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations

Systems and Control Letters, Vol. 133, 2019, art. 104542.

2019
15

G. O. Antunes, F. D. Araruna, A. Mercado

Exact controllability for the semilinear Mindlin-Timoshenko system

J. Math. Anal. Appl. 480 (2019), no. 2, 123432, 33 pp

2019
14

D. Gajardo, A. Mercado, P. Valencia

An inverse problem for an immobilized enzyme model

Math. Methods Appl. Sci. 42 (2019), no. 12, 4170–4183

2019
13

E. Cerpa, P. GuzmánA. Mercado

On the control of the linear Kuramoto-Sivashinsky equation

ESAIM: Control, Optimisation and Calculus of Variations; Vol. 23(1), pp. 165-194.

2017
12

M. López-García, A. Mercado, L. de Teresa

Null controllability of a cascade system of Schrödinger equations

Electron. J. Differential Equations 2016, Paper No. 74, 12 pp.

2016
11

F.D. Araruna, E. Cerpa, A. Mercado, M.C. Santos

Internal null controllability of a linear Schröndinger-KdV System on a Bounded interval

Journal of Differential Equations; Vol. 260(1), pp. 653-687; Jan. 2016

2016
10

E. Cerpa, A. Mercado, A.F. Pazoto

Null Conrollability of the Stabilized Kuramoto-Sivashinsky System with One Distributed Control

SIAM Journal on Control and Optimization; Vol. 53(3), pp. 1543-1568; Jun. 2015

2015
9

L. Baudouin, E. Cerpa, E. Crépeau, A. Mercado

On the determination of the principal coefficient from boundary measurements in a KdV equation

Journal of Inverse and Ill-posed Problems; Vol. 22(6), pp. 819-846; Dec. 2014.

2014
8

L. Baudouin, E. Cerpa, E. Crépeau, A. Mercado 

Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation

Appl. Anal., Vol. 92, No. 10, 2013, pp. 2084-2102

2013
7

E. Cerpa, A. Mercado, A. Pazoto

On the boundary control of a parabolic system coupling KS-KdV and Heat equations

Scientia Series A: Mathematical Sciences, Vol. 22, 2012, pp. 55-74

2012
6

E. Cerpa, A. Mercado

Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation

J. Differential Equations, Vol. 250, No. 4, 2011, pp. 2024-2044

2011
5

A. Mercado, A. Osses, L. Rosier

Carleman inequalities and inverse problems for the Schrödinger equation

C. R. Math. Acad. Sci. Paris 346 (2008), no. 1-2, 53–58.

2008
4

L. Baudouin, A. Mercado

An inverse problem for Schrödinger equations with discontinuous main coefficient

Appl. Anal. 87 (2008), no. 10-11, 1145–1165

2008
3

A. Mercado, A. Osses, L. Rosier

Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights

Inverse Problems 24 (2008), no. 1, 015017, 18 pp

2008
2

S. Guerrero, A. Mercado, A. Osses

An inverse inequality for some transport-diffusion equation. Application to the regional approximate controllability

Asymptot. Anal. 52 (2007), no. 3-4, 243–257

2007
1

L. Baudouin, A. Mercado, A. Osses

A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem.

Inverse Problems 23 (2007), no. 1, 257–278.

2007