INdAM Workshop
Incontro INdAM
Inverse Problems and Applications
June 3-9, 2002
Cortona, Italy
Organizers
Giovanni Alessandrini
(Università degli Studi di Trieste, Italy)
Gunther Uhlmann
(University of Washington, USA)
Inverse problems arise in practical situations such as medical imaging, exploration geophysics, and non-destructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. In the last couple of decades there have been substantial developments in the mathematical theory of inverse problems.
The purpose of the workshop is to bring together people working on different aspects of the field, to appraise the current status of development and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.
This workshop is organized in conjuction with the Special Session 22
Inverse Boundary Problems and Applications
at the
AMS-UMI First Joint International Meeting
which has been held in Pisa (Italy) from June 12 to 16, 2002. The session on Inverse Boundary Problems and Applications at the AMS-UMI meeting has been held on Saturday June 15, 2002 and information on this session, such as list of speakers, program and abstracts of the talks are posted on this server and can be reached by following the link above.
Venue
The workshop has taken place at the Palazzone, a monumental palace, located in Cortona (Italy), which is owned by the Scuola Normale Superiore and is under the protection of the Ministero dei Beni Culturali and Ambientali.
Program
Below you can find the program of the workshop.
Please note that to the
title of each talk is linked the corresponding abstract in pdf
format. You can also download the program and a booklet containing the program and
the complete
list of abstracts in the format which
is more convenient to you.
Program
and
Program + Abstracts in pdf format
Program
and
Program + Abstracts in ps format
Program
and
Program + Abstracts in dvi format
Monday June 3, 2002
- 10:00-10:45
- F. Alberto Grünbaum (University of California,
Berkeley, USA)
Diffuse or optical tomography as a general nonlinear inverse problem for a Markov chain - 11:15-12:00
- Erkki Somersalo (Helsinki University of Technology, Finland)
Inverse boundary value problem for Maxwell equations with scalar impedance - 12:15-13:00
- Sergio Vessella (Università degli Studi di Firenze, Italy)
Optimal three cylinder inequality for solutions to parabolic equations and stability estimates in inverse problems
Tuesday June 4, 2002
- 9:00-9:45
- Alfredo Lorenzi (Università degli Studi di Milano, Italy)
Identification problems for linear integro-differential equations - 10:00-10:45
- David Isaacson (Rensselaer Polytechnic Institute, New York,
USA)
Electrical Impedance Imaging for Medical Applications - 11:15-12:00
- Maarten V. de Hoop (Colorado School of Mines, Golden
CO, USA)
Seismic inverse scattering in the `wave-equation' approach - 12:15-13:00
- Matti Lassas (University of Helsinki, Finland)
Inverse boundary value problems on non-compact manifolds
Short Communications
- 15:35-15:55
- Alexandru Tamasan (University of Washington, USA)
2D Optical Tomography in Critical Regime - 16:30-16:50
- Gabriele Inglese (Istituto di Analisi Globale ed Applicazioni, CNR, Florence,
Italy)
An algorithm for corrosion detection via simultaneous reconstruction of material loss and energy dispersion coefficients - 16:55-17:15
- Bruno Canuto (Université Blaise Pascal, France)
Determining Two Coefficients in Elliptic Operators via Boundary Spectral Data: a Uniqueness Result
Wednesday June 5, 2002
- 9:00-9:45
- Michael Vogelius (Rutgers, The State University of New Jersey,
USA)
Blow-up of solutions to non-linear elliptic Neumann problems - 10:00-10:45
- Plamen Stefanov (Purdue University, USA)
Inverse Problem for the 2D transport equation - 11:15-12:00
- Mauro Giudici (Università degli Studi di Milano, Italy)
Some problems for the application of inverse techniques to environmental modelling - 12:15-13:00
- Liliana Borcea (Rice University, USA)
Optimal finite difference grids for direct and inverse Sturm Liouville problems
Thursday June 6, 2002
- 9:00-9:45
- Victor Isakov (Wichita State University, USA)
On uniqueness in the lateral Cauchy problem and on inverse problems for the dynamical Lame system - 10:00-10:45
- Fadil Santosa (University of Minnesota, USA)
Inverse Problems Seeking Solutions - 11:15-12:00
- Allan Greenleaf (University of Rochester, USA)
Global uniqueness for conormal conductivities and potentials - 12:15-13:00
- Elena Beretta (Università degli Studi di Roma "La
Sapienza",
Italy)
Asymptotic expansions of the steady-state voltage potential in the presence of thin inhomogeneities
Short Communications
- 15:35-15:55
- Peter Mathé (Weierstrass Institute Berlin, Germany)
Optimal Discretization of Inverse Problems in Hilbert Scales - 16:30-16:50
- Alberto Favaron (Università degli Studi di Milano, Italy)
Parabolic integrodifferential identification problems related to memory kernels with special symmetries - 16:55-17:15
- Elisa Francini (Istituto di Analisi Globale ed Applicazioni, CNR, Florence,
Italy)
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities
Friday June 7, 2002
- 9:00-9:45
- Lassi Päivärinta (University of Oulu, Finland)
Inverse scattering from a random potential in 2D - 10:00-10:45
- Yaroslav V. Kurylev (Loughborough University, UK)
Stability in Inverse Boundary Spectral Problems - 11:15-12:00
- Clifford Nolan (Rensselaer Polytechnic Institute, New York, USA)
Microlocal Methods for Anisotropic Materials - 12:15-13:00
- Antonino Morassi (Università degli Studi di Udine, Italy)
Detecting inclusions with extreme conductivities
Saturday June 8, 2002
- 9:00-9:45
- Mario Bertero (Università di Genova, Italy)
Restoration of astronomical images at thermal infrared wavelenghts - 10:00-10:45
- William Rundell (Texas A&M University, USA)
Some new inverse eigenvalue problems - 11:15-12:00
- Gunther Uhlmann (University of Washington, USA)
Travel time tomography