Luigi Ambrosio, Henri Berestycki, Italo Capuzzo-Dolcetta, Maria J. Esteban, Nassif Ghoussoub, Changfeng Gui, Francois Hamel, David Jerison, Denis Labutin, Yanyan Li, Fang-Hua Lin, Regis Monneau, Nikolai Nadirashvili, Jean-Michel Roquejoffre, Lihe Wang.
The meeting will be devoted to both variational and viscosity methods for PDEs, with special emphasis on some recent works that combine both tools or that study classical variational questions in the framework of nonvariational equations. Concrete topics for semilinear, quasilinear and fully nonlinear equations will include: phase transitions, front propagation, symmetry properties, equations in periodic media, and optimal transport problems.
This meeting is partially supported by the Harrington Faculty Fellows Program, which was made possible by a gift from Sybil Harrington and The Don and Sybil Harrington Foundation. We also thank TICAM for its support.
It would be our pleasure to have you come to our institution and hear the lecturers above. If you will be attending, we need to know this in advance, so please email the Conference Secretary Amy Green Padgett at amyg@math.utexas.edu.
The meeting will take place at conference rooms located on the campus of The University of Texas at Austin. Click on each room in the program below to obtain its location and a map of the area. All the conference rooms are within walking distance from the math department, which is located in the RLM building (at Speedway and 26th St.)
WEDNESDAY April 17. All talks on this day are in room
ACES 6.304 (located at Speedway and 24th St.)
2:00-2:50 pm. (*) Luigi Ambrosio (Scuola Normale Superiore di Pisa):
Existence and stability results in L1 theory of optimal transportation
3:10-4:00 pm. Francois Hamel
(Universite Aix - Marseille III): Variational
principles and applications to some propagation phenomena in periodic media
(*) There will be inagural speechs given by
Dean Mary Ann Rankin of the College of Natural Sciences
and Provost Sheldon Ekland-Olson.
THURSDAY April 18. All talks on this day are in room
NOA 1.124
(located at Wichita and 27th St.)
9:00-9:50 am. Changfeng Gui (University of Connecticut): Recent
progress on a conjecture of De Giorgi
10:10-11:00 am. Denis Labutin (ETH - Zentrum, Zurich): Potential theory
estimates for semilinear elliptic equations
11:20-12:10. Henri Berestycki (Ecole des Hautes Etudes en Sciences
Sociales, Paris): Propagation of fronts in periodic media
Lunch
2:00-2:50 pm. Nikolai Nadirashvili (University of Chicago):
Isoperimetric inequalities
for the second eigenvalue of a sphere
3:10-4:00 pm. Regis Monneau (Ecole Nationale des Ponts et Chaussees,
CERMICS): One-dimensional symmetry and fully non linear elliptic equations
FRIDAY April 19.
All talks on this day are in room
NOA 1.126
(located at Wichita and 27th St.)
9:00-9:50 am. Maria Esteban (Universite Paris Dauphine):
About some new homogeneous
and non homogeneous Hardy inequalities
10:10-11:00 am. Lihe Wang (University of Iowa):
Estimates for degenerate equations and applications
11:20-12:10. Jean-Michel Roquejoffre
(Universite Paul Sabatier, Toulouse):
Mathematical justification and
qualitative properties of a class of asymptotic models for spherical flames
Lunch
2:00-2:50 pm. Yanyan Li (Rutgers University): Extensions to a
theorem of Jörgens, Calabi, and Pogorelov
3:10-4:00 pm. Nassif Ghoussoub (Pacific Institute, Vancouver):
Elliptic equations with singular potentials
SATURDAY April 20.
All talks on this day are in room
ECJ 1.202
(located at 26th St between Speedway and San Jacinto.)
9:00-9:50 am. Italo Capuzzo - Dolcetta (Universita Roma La Sapienza):
Hadamard and Liouville type results for fully nonlinear PDE`s
10:10-11:00 am. Fang Hua Lin (Courant Institute, New York Univ.):
On Faddeev and Skyrme models
11:20-12:10. David Jerison (Mass. Inst. of Technology, MIT):
Global energy minimizers
for free boundary problems and full regularity in 3 dimensions
Austin is served by the Austin-Bergstrom International Airport. It is not far from the University, and taxi rides should be reasonably priced. Super-Shuttle is available.
Participants should make their own arrangements directly with the hotel of their choice. Below are listed several options for lodging arrangements for those who might be outside of the Austin area. Please refer to the "Variational Methods Math Meeting" at both places in order to obtain the special rates.
This rather complete listing of
area accomodations may be useful.
Here is some information on people and activities in Partial Differential Equations of the various University of Texas research groups.