RONALD DEVORE, Texas A & M University
DOES IT PAY TO BE GREEDY ?
Tuesday, July 03 2012, at 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
Thursday, June 28 2012, at 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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S.R.S. VARADHAN, Courant Institute of Mathematical Sciences – New York University
LARGE DEVIATION THEORY. A GENERAL SURVEY WITH SOME RECENT UNUSUAL APPLICATIONS
Wednesday, June 13 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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XENIA DE LA OSSA, University of Oxford
GEOMETRY OF HETEROTIC STRING COMPACTIFICATIONS
Friday, June 01 2012, at 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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WILLIAM FULTON, University of Michigan
DEGENERACY LOCI AND EQUIVARIANT COHOMOLOGY
Wednesday, May 16 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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ALBERTO PARMEGGIANI, Università di Bologna
OSCILLATORI ARMONICI NON-COMMUTATUVI E PROBLEMI CORRELATI
Monday, May 07 2012, at 17:00
Università di Milano Bicocca, Dipartimento di Matematica | |
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