Geometric Properties of Solutions to PDEs

Organizers: Donatella Danielli (Purdue University, U.S.A.) and Sandro Salsa (Polytechnic of Milan, Italy)

This session will be devoted to the study of analytic and geometric properties of solutions to PDEs, with special emphasis on free boundary problems, symmetry problems, and inverse problems.

Program of the session - Saturday, June 15, 2002

Aula Polo Fibonacci  #14 (Via Buonarroti, 2)

9:00 - 9:30 N. Uraltseva, St. Petersburg State University, Russia Parabolic free boundary problems
9:35 -10:05 G. Weiss, University of Tokio, Japan A singular limit in combustion: fine properties of the free boundary.
10:10 - 10:40 T. Toro, University of Washington, U.S.A. Free boundary regularity below the continuous threshold
10:40 - 11:10 Coffee Break  
11:10 - 11:40 B. Kawohl, University of Köln, Germany Symmetry of level lines for some degenerate situations
11:45 - 12:15 P. Daskalopoulos, Columbia University, U.S.A. Worn Stones with Flat Sides -  All Time Regularity of the Interface
12:20 - 12:50 X. Cabré, University of Texas at Austin, U.S.A., and Universitat Politecnica de Catalunya, Spain Phase transitions, minimal surfaces and symmetry properties for elliptic PDEs
12:50 - 2:30 Lunch  
2:30 - 3:00 E. Lanconelli, University of Bologna, Italy Maximum principles and symmetry properties of solutions to nonlinear subelliptic equations
3:35 - 4:05 K. Nystrom, Swedbank, Sweden Caloric measure in parabolic flat domains
4:05 - 4:20 Coffee Break  
4:20 - 4:50 E. Beretta, University of Rome "La Sapienza", Italy An inverse problem problem arising from magnetohydrodynamics
4:55 - 5:25 J. L. Vazquez, Autonomous University of Madrid, Spain Geometrical properties of solutions of the Porous Medium Equation and $p$-Laplacian equations for large times

 

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