*Thesis
Advisor*

Undergraduate Level:

R. Nuņez, Stability for (a,k)-regularized families of linear operators, (spanish), University of Santiago de Chile, 2015.

R. Brevis, Fractional Fourier Transform in Magnetic Resonance Imaging, (spanish), University of Santiago de Chile, 2011.

E. Coronado, Functions in several variables, an introduction,
(spanish), University of Santiago de Chile, 2008.

C. Fernandez, Laplace
transform and Volterra equations, (spanish),University of Santiago de Chile,
2006.

R. Ponce, An
introduction toWavelets, (spanish), University of Santiagode Chile, 2006.

D. Araya, S. Calzadillas, Fredholm's integral equations.
An introduction. (spanish), University of Santiago de Chile, 2005.

M. Guerrero, An introduction to the theory of strongly continuous cosinefamilies
of operators (spanish), University of Santiago de Chile, 2004.

H. Andrades, An introduction to the theory of C0-semigroups. (spanish), University
of Santiago de Chile, 2003.

K. Matamala, Spectral theory in the study of diffeerential equations (spanish),
University of Santiago de Chile, 1999.

A. Garrido, The convolution transform, an introduction (spanish), University
of Santiago de Chile, 1999.

J. Avila, Applications of harmonic analysis to partial di®erential equations
(spanish), University of Santiago de Chile, 1994.

A. Meza, A study of C- algebras with applications to semigroup theory (spanish),
University of Santiago de Chile, 1993.

G. Touma, Applications of some theorems in Complex Analysis to evolution equations
(spanish), University of Santiago de Chile, 1993.

Graduate Level:

M.Sc. Thesis

C. Leal, Existence of strong solutions for a class of semilinear evolution equations with non-local initial conditions (spanish), M.Sc. Mathematics, USACH, 2013.

S. Calzadillas, Bounded and mild solutions for Volterra equations (spanish), M.Sc. Mathematics, USACH, 2010.

D. Araya, Almost automorphic solutions for differential and difference equations (spanish), M.Sc. Mathematics, USACH, 2010.

V. Poblete, On multiplicative perturbation for resolvent families of operators (spanish), M. Sc. Mathematics, USACH, 2002.

V. Vergara, Conditions for the uniform stability for resolvent families of operators (spanish), M. Sc. Mathematics, USACH, 2001.

Ph.D. Thesis

J.C. Pozo, Regularity and qualitative properties for solutions of some evolution equations, Ph.D. Mathematics, Universidad de Chile, 2013.

F. Poblete, (a,k)-regularized families and some evolution equations, Ph.D. Mathematics, Universidad de Chile, 2013.

R.Ponce, Bounded solutions to evolution equations in Banach spaces, Ph.D. Mathematics, USACH, 2011.

J.C. De Souza, A regularity theory for evolution equations in discrete and continuous time, Ph.D. Mathematics, University of Pernambuco, Brazil, 2009.

V. Poblete, Fourier multipliers and maximal regularity for integrodifferential equations in Banach spaces, Ph.D. Mathematics, USACH, 2006.

Posdoctoral Positions

V. Vergara, April 2007- Sept. 2008; Ph.D. University of Halle, Germany.

V. Poblete, April 2007- Sept. 2008; Ph.D. University of Santiago, Chile.

E. Alvarez, Nov.2011-Dec.2011; Ph.D. University of Puerto Rico, USA.

J. G.Mesquita, Nov. 2012-April 2013; Ph.D. University of Sao Paulo, Brazil.

M.P. Velasco, March 2015-June 2015; Ph.D. Universidad Complutense de Madrid, Spain.

Last Update: March 2015