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Seminar on Partial Differential Equations and Spectral Theory

Pontificia Universidad Católica de Chile, Campus San Joaquín
 Facultad de Matemáticas, Sala 2                                                                                      Thursdays, 17:00 - 18:30

Contact: bourget(at)mat.puc.cl; mcourdurier(at)mat.puc.cl, amontero(at)mat.puc.cl; graikov(at)mat.puc.cl


  • July 5, 2012: Low energy spectral and scattering theory for relativistic Schroedinger operators
Serge Richard, University of Tsukuba, Japan; University of Lyon I, France

  •  June 7, 2012: Saint Venant Principle for Variational Inequalities
Michel Chipot, University of Zurich, Switzerland

  • April 19, 2012: Twisting versus bending in curved quantum waveguides
David Krejcirik, Nuclear Physics Institute, Czech Academy of Sciences

  • March 22, 2012: Large time behaviour of heat kernels
Daniel Lenz, Friedrich-Schiller-Universität Jena, Germany


  • November 24, 2011: Positive Quantization in the Presence of a Variable Magnetic Field
Serge Richard, University of Tsukuba, Japan (on leave from Lyon)

  • November 17, 2011: Comportamiento local y global de las soluciones de la ecuación de Hamilton-Jacobi con operador de difusión no lineal
Amal Attouchi, Universidad de Paris 13, Francia

  • October 27, 2011: Fórmula de traza para el operador de Landau perturbado
Georgi Raikov, Facultad de Matemáticas, PUC

  • October 6, 2011: La energía de Ginzburg Landau de una función bien localizada
Alberto Montero, Facultad de Matemáticas, PUC

  • September 15, 2011: Discrete spectrum asymptotics for certain finite band lattice operators
Alexander Sobolev, University College, London, UK

  • September 1, 2011: Two-Hilbert spaces Mourre theory for the Laplace-Beltrami operator on manifolds with asymptotically cylindrical ends
Rafael Tiedra de Aldecoa, Facultad de Matemáticas, PUC

  •  July 28, 2011: Normal Form for some time-independent magnetic Hamiltonians
Cedric Meresse, CPT Marseille, France

  •  May 26, 2011: El Ansatz de Bethe en una alcoba de Weyl
Erdal Emsiz, Facultad de Matemáticas, PUC

  • May 19, 2011: Effective Hamiltonian for a hydrogen-like atom in a thin layer
Matej Tusek, Facultad de Física, PUC

  • May 12, 2011: Heat kernels of two-dimensional magnetic Schroedinger and Pauli operators
Hynek Kovarik, Politecnico di Torino, Italia

  • April 7, 2011: Cotas para la energía de intercambio en física atómica
Rafael Benguria, PUC

  • January 13, 2011: Remarks on effective dynamics in Quantum Hall systems and the Chalker Coddington model
Joachim Asch, CPT Marseille, France

  • January 6, 2011: Characteristic values for a class of meromorphic operators
Vincent Bruneau, Université Bordeaux I, France


  • December 9, 2010: Universally Typical Sets for Ergodic Sources of Multidimensional Data
Ruedi Seiler, Technische Universität Berlin, Germany

  • November 11, 2010: On resonance and the Landerman-Lazer condition for some Fully Nonlinear Elliptic equations
Alexander Quaas, Universidad Téctinca Federico Santa María

  • October 28, 2010: Large Solutions of Some Elliptic Systems of Second Order
Marta García-Huidobro, PUC

  • October 21, 2010: The system of elastic waves with time-dependent damping coefficient in unbounded domains
Ruy Coimbra, Universidade Federal de Santa Catarina

  • October 4, 2010 (Monday): The Relativistic Scott Correction
Heinz Siedentop, Ludwig-Maximilians-Universität München, Germany

  •  September 30, 2010: Spectral properties of random Schroedinger operators with general interactions
Ivan Veselic, Chemnitz Technical University, Germany

  • September 9, 2010: Ground states para una ecuación elíptica semilineal con crecimiento mixto subcrítico y supercrítico
Ignacio Guerra, Departamento de Matemática y CC, USACH

  • September 2, 2010: Sojourn Time for Time-Dependent Hamiltonians
Claudio Fernández, PUC

  • August 26, 2010: Expanding solitons with non-negative curvature operator coming out of cones.
Felix Schulze, Free University Berlin, Germany

  •  August 19, 2010: Curvas invariantes y cociclos de isometrías en un espacio de Hilbert sobre dinámicas minimales.
Alvaro Daniel Coronel, PUC

  •  August 12, 2010: A limiting free boundary problem ruled by Aronsson's equation
Julio Rossi, Universidad de Buenos Aires, Argentina

  • August 5, 2010: Soluciones múltiples al problema de Bahri-Coron en un dominio con una perturbación topológicamente no trivial
Mónica Clapp, Universidad Nacional Autónoma de México

  • May 6, 2010: Wave operators and a topological version of Levinson's theorem
Serge Richard, University of Cambridge, on leave of absence from the University of Lyon I

  • April 8, 2010: Spectral asymptotics for Toeplitz operators in Bargman spaces.
Alexander Pushnitski, King’s College, London, UK
 
  • March 25, 2010: On the linear response theory and the Liouville equation for magnetic random Schrödinger operator
Nicolas Dombrowski, University of Cergy-Pontoise; currently postdoc at PUC
 
  • January 7, 2010: Lieb-Thirring inequalities with improved constants
Michael Loss, Georgia Institute of Technology, Atlanta, USA


  • December 10, 2009: An Operator Algebra Approach to the Study of the Essential Spectrum of Anisotropic Quantum Hamiltonians
Radu Purice, Romanian Academy of Sciences

  • December 3, 2009: The Buckling Problem and the Krein Laplacian
Mark Ashbaugh, University of Missouri, Columbia, MO, currently visiting at the Physics Faculty, PUC
 
  • October 22, 2009: Bounds on the product of the first two non-trivial frequences of a free membrane.
Christian Enache, Ovidius University, Constanta, Romania
 
  • October 15, 2009: Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries
Christian Enache, Ovidius University, Constanta, Romania

  • September 24, 2009: A dynamical approach to the B --> 0 limit for Bloch electrons
Max Lein, Technical University, Munich, Germany
 
  • May 7, 2009: New formulae for the wave operators for a rank one interaction
Rafael Tiedra de Aldecoa, Pontificia Universidad Católica de Chile

  • December 19, 2008: Determinant and Breit-Wigner approximation for Schrödinger operators,
Vincent Bruneau, Université de Bordeaux I

  • December 5, 2008: The Magnetic Quantum Calculus I
Marius Mantoiu, Universidad de Chile

  •  November 28, 2008: Equilibrios hidromagnéticos en estrellas
Andreas Reisenegger, Departamento de Astronomia y Astrofisica, Pontificia Universidad Católica de Chile

  • November 21, 2008: The Magnetic Quantum Calculus
Marius Mantoiu, Universidad de Chile

  • November 14, 2008: Ecuaciones de Orden Fraccionario en Espacios de Banach
Humberto Prado, Universidad de Santiago de Chile

  • November 7, 2008: Scattering theory using non-Hermitian Hamiltonians
Miloslav Znojil,    Doppler Institute for mathematical physics and applied mathematics  and Nuclear Physics Institute ASCR, Czech Republic

  • October 24, 2008: Relación entre la variedad nula de la transformada de Fourier de la función característica de un dominio y los autovalores del Laplaciano
Rafael Benguria, Pontificia Universidad Católica de Chile
 
  • October 17, 2008: Non existence of eigensolutions for beams and plates
Claudio Fernández, Pontificia Universidad Católica de Chile

  • October 10, 2008: Kicked Quantum Systems Revisited
Olivier Bourget, Pontificia Universidad Católica de Chile

  • September 26, 2008: Time delay for dispersive quantum Hamiltonians
Rafael Tiedra de Aldecoa, Université de Cergy-Pontoise

  • September 12, 2008: Eigenvalue asymptotics in a twisted waveguide
Georgi Raikov, Pontificia Universidad Católica de Chile

  • September 5, 2008: Localization for some random quantum graphs
Frédéric Klopp, Université Paris 13