STEFANO OLLA, Ceremade, Université Paris Dauphine
DALLA DINAMICA ALLA TERMODINAMICA: E' POSSIBILE UNA DEDUZIONE MATEMATICA PRECISA?
Lunedì 26 Novembre 2012, ore 15:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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ENRICO VALDINOCI, Università di Milano
A FRACTIONAL FRAMEWORK FOR PERIMETERS AND PHASE TRANSITIONS
Lunedì 05 Novembre 2012, ore 17:00
Dipartimento di Matematica del Politecnico, Aula Consiglio | |
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THOMAS SPENCER, Institute for Advanced Study, Princeton
SYMMETRY, STATISTICAL MECHANICS AND RANDOM MATRICES
Lunedì 15 Ottobre 2012, ore 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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WALTER NOLL, Carnegie Mellon University
PHYSICS AND MATHEMATICS WITHOUT COORDINATES
Giovedì 04 Ottobre 2012, ore 17:00
Politecnico di Milano, Dipartimento di Matematica, Sala del Consiglio VII piano | |
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RONALD DEVORE, Texas A & M University
DOES IT PAY TO BE GREEDY ?
Martedì 03 Luglio 2012, ore 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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VLADIMIR MAZ YA, University of Liverpool, Department of Mathematical Sciences
HIGHER ORDER ELLIPTIC PROBLEMS IN NON-SMOOTH DOMAINS
Giovedì 28 Giugno 2012, ore 17:00
Politecnico di Milano, Dipartimento di Matematica, Aula VII piano |
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Abstract
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We discuss sharp continuity and regularity results for solutions of the polyharmonic equation in an arbitrary open set. The absence of information about geometry of the domain puts the question of regularity properties beyond the scope of applicability of the methods devised previously, which typically rely on specific geometric assumptions.
Positive results have been available only when the domain is sufficiently smooth, Lipschitz or diffeomorphic to a polyhedron.
The techniques developed recently allow to establish the boundedness of derivatives of solutions to the Dirichlet problem for the polyharmonic equation under no restrictions on the underlying domain and to show that the order of the derivatives is maximal. An appropriate
notion of polyharmonic capacity is introduced which allows one to describe the precise correlation between the smoothness of solutions and the geometry of the domain. |
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