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Alberto Carlos Mercado Saucedo

Associate Professor

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

Líneas de Investigación


Inverse Problems; Analysis of Partial Differential Equations

Educación

  •  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

Experiencia Académica

  •   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

Experiencia Profesional

  •   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

Formación de Capital Humano


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


Difusión y Transferencia


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



 

Article (19)

An inverse problem for an immobilized enzyme model
Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations
Exact controllability for the semilinear Mindlin-Timoshenko system
ON THE CONTROL OF THE LINEAR KURAMOTO-SIVASHINSKY EQUATION
Internal null controllability of a linear Schrödinger-KdV system on a bounded interval
Null controllability of a cascade system of schrÖdinger equations
On the control of the linear Kuramoto-Sivashinsky equation
NULL CONTROLLABILITY OF THE STABILIZED KURAMOTO-SIVASHINSKY SYSTEM WITH ONE DISTRIBUTED CONTROL
On the determination of the principal coefficient from boundary measurements in a KdV equation
Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation
On the boundary control of a parabolic system coupling KS-KdV and Heat equations
Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
An inverse problem for Schrödinger equations with discontinuous main coefficient
Carleman inequalities and inverse problems for the Schrodinger equation
Carleman inequalities and inverse problems for the Schrodinger equation
Inverse problems for the Schrodinger equation via Carleman inequalities with degenerate weights
Inverse problems for the Schrodinger equation via Carleman inequalities with degenerate weights
A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem
An inverse inequality for some transport-diffusion equation. Application to the regional approximate controllability

Proyecto (8)

Controllability and inverse problems for mathematical models of ame and wave propagation
Control Systems and Identification Problems COSIP
ANILLO ACT1106=> Analysis of Control Problems and Applications (ACPA).
Controllability and inverse problems for Schrodinger equations
CONTROLLABILITY AND INVERSE PROBLEMS FOR SCHRODINGER EQUATIONS.
Carleman estimates and applications to inverse problems and control
CARLEMAN ESTIMATES AND APPLICATIONS TO INVERSE PROBLEMS AND CONTROL.
Analysis of Control Problems and Applications
18
Alberto Mercado

Associate Professor

Departamento de Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

6
Eduardo Cerpa

Associate Professor

Instituto de Ingeniería Matemática y Computacional

Pontificia Universidad Católica de Chile

Santiago, Chile

4
Axel Osses

Profesor Titular

Departamento de Ingeniería Matemática

Universidad de Chile

Santiago, Chile

1
Pedro Valencia

Research Associate

Chemical Engineering

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

1
Nicolás Carreño

Profesor Asistente

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile

1
Patricio Guzmán

Profesor Auxiliar

Matemática

Universidad Técnica Federico Santa María

Valparaíso, Chile