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Alberto Carlos Mercado Saucedo

Associate Professor

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

Inverse Problems; Analysis of Partial Differential Equations

Mathematics, UNIVERSITE DE VERSAILLES SAINT-QUENTIN EN YVELINES. Francia, 2007
Mathematical modelling, UNIVERSIDAD DE CHILE. Chile, 2007
Science in Mathematics, UNIVERSIDAD AUTONOMA DE MEXICO. México, 2001
Science in applied mathematics, Universidad Autonoma de Coahuila. México, 1998

Associate professor Full Time

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Chile

2016 - At present
Assistant professor Full Time

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Chile

2011 - 2015
Academic instructor Full Time

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Chile

2008 - 2011
Visiting scholar Full Time

UNIVERSITY OF WASHINGTON-SEATTLE

Estados Unidos

2007 - 2008
Postdoctoral position Full Time

UNIVERSIDAD DE CHILE

Centro de Modelamiento Matemático

Chile

2007 - 2007

International coordinator, ICOPS (Brasil-Colombia-Chile-France) Part Time

Math-AmSud

Chile

2017 - 2018
Co-researcher, project Anillo ACT 1106 Part Time

Universidad Técnica Federico Santa María

Chile

2013 - 2015
Researcher, grant CIP-PDE (France-Brazil-Chile) Part Time

Math-AmSud

Chile

2009 - 2011

Number of thesis directed: 0
Number of thesis co-directed: 0

Teaching Experience
Instructor at:
Universidad Técnica Federico Santa María, Santiago – Chile (August 2008 – present)
Calculus
Calculus of several variables
Functional Analysis
Measure Theory
Partial Differential Equations
Inverse Problems
Differential Geometry,
Control Theory of PDE
Mathematical Control Theory
Calculus of Variations
Introduction to Mathematical Analysis

Universidad de Chile (August 2006 - July 2007)
Applied Mathematics

Publications
Authors: Alberto Mercado.
Title: Proyecciones del interior: las matemáticas de las imágenes médicas.
Saber Más: Revista de divulgación de la Universidad Michoacana de San Nicolás de Hidalgo.
Date: April,2015.
Authors: Alberto Mercado, Emmy Noether and Julieta Fierro
Title: Las dificultades de las científicas.
Revista de divulgación científica de la Universidad Veracruzana, Volume XXIX, No- 2, pages 54-56


An inverse problem for an immobilized enzyme model Gajardo, Diego; Mercado, Alberto; Valencia, Pedro Article ISI SCOPUS MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2019)
Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations CarreÃ±o N.; Cerpa E.; Mercado A. Article ISI SCOPUS SYSTEMS & CONTROL LETTERS (2019)
Exact controllability for the semilinear Mindlin-Timoshenko system Antunes G.O.; Araruna F.D.; Mercado A. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)
ON THE CONTROL OF THE LINEAR KURAMOTO-SIVASHINSKY EQUATION Cerpa, Eduardo; Guzmán, Patricio; Mercado, Alberto Article ISI SCOPUS ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2017)
Internal null controllability of a linear Schrödinger-KdV system on a bounded interval Araruna, Fágner D.; Cerpa, Eduardo; Mercado, Alberto; Santos, Maurício C. Article JOURNAL OF DIFFERENTIAL EQUATIONS (2016)
Null controllability of a cascade system of schrÖdinger equations López-García M.; Mercado, A.; De Teresa L. Article SCOPUS Electronic Journal of Differential Equations (2016)
On the control of the linear Kuramoto-Sivashinsky equation Cerpa, Eduardo; Guzmán, Patricio; Mercado, Alberto. Article ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2016)
NULL CONTROLLABILITY OF THE STABILIZED KURAMOTO-SIVASHINSKY SYSTEM WITH ONE DISTRIBUTED CONTROL Cerpa, Eduardo; Mercado, Alberto; Pazoto, Ademir Article ISI SCOPUS SIAM Journal on Control and Optimization (2015)
On the determination of the principal coefficient from boundary measurements in a KdV equation Baudouin, L; Cerpa, E; Crepeau, E; Mercado, A. Article ISI SCOPUS JOURNAL OF INVERSE AND ILL-POSED PROBLEMS (2014)
Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation Baudouin, L; Cerpa, E; Crepeau, E; Mercado, A. Article ISI SCOPUS Applicable Analysis (2013)
On the boundary control of a parabolic system coupling KS-KdV and Heat equations Cerpa, Eduardo.; Mercado, Alberto.; Pazoto, Ademir F. Article SCIENTA (2012)
Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation Cerpa, E; Mercado, A. Article ISI SCOPUS Journal of Differential Equations (2011)
An inverse problem for Schrödinger equations with discontinuous main coefficient Baudouin, Lucie; Mercado, Alberto. Article APPLICABLE ANALYSIS (2008)
Carleman inequalities and inverse problems for the Schrodinger equation Mercado, A; Osses, A; Rosier L. Article COMPTES RENDUS MATHEMATIQUE (2008)
Carleman inequalities and inverse problems for the Schrodinger equation Mercado, A.; Osses A.; Rosier L Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2008)
Inverse problems for the Schrodinger equation via Carleman inequalities with degenerate weights Mercado, A.; Osses A.; Rosier L Article ISI SCOPUS INVERSE PROBLEMS (2008)
Inverse problems for the Schrodinger equation via Carleman inequalities with degenerate weights Mercado, A; Osses, A; Rosier L. Article INVERSE PROBLEMS (2008)
A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem Baudouin, L; Mercado, A.; Osses A. Article ISI SCOPUS INVERSE PROBLEMS (2007)
An inverse inequality for some transport-diffusion equation. Application to the regional approximate controllability Guerrero, S; Mercado, A.; Osses A. Article ISI SCOPUS ASYMPTOTIC ANALYSIS (2007)


Controllability and inverse problems for mathematical models of ame and wave propagation Mercado, Alberto Proyecto (2017)
Control Systems and Identification Problems COSIP Math-Amsud (COSIP) Proyecto 2014-2015 Investigador(a)
ANILLO ACT1106=> Analysis of Control Problems and Applications (ACPA). PIA-Conicyt (ACT1106) Proyecto 2012-2014 Subdirector(a)
Controllability and inverse problems for Schrodinger equations Mercado, Alberto Proyecto (2012)
CONTROLLABILITY AND INVERSE PROBLEMS FOR SCHRODINGER EQUATIONS. FONDECYT (1120610) Proyecto 2012-2016 Inv. Responsable
Carleman estimates and applications to inverse problems and control Mercado, Alberto Proyecto (2008)
CARLEMAN ESTIMATES AND APPLICATIONS TO INVERSE PROBLEMS AND CONTROL. FONDECYT (11080130) Proyecto 2008-2011 Inv. Responsable
Analysis of Control Problems and Applications Hernández, Erwin.; Cerpa, Eduardo.; Gajardo, Pedro.; Peypouquet, Juan.; Briceño, Luis.; Spa, Carlos.; Mercado, Alberto Proyecto (0)