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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S.R.S. VARADHAN, Courant Institute of Mathematical Sciences – New York University
LARGE DEVIATION THEORY. A GENERAL SURVEY WITH SOME RECENT UNUSUAL APPLICATIONS
Mercoledì 13 Giugno 2012, ore 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
Venerdì 01 Giugno 2012, ore 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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WILLIAM FULTON, University of Michigan
DEGENERACY LOCI AND EQUIVARIANT COHOMOLOGY
Mercoledì 16 Maggio 2012, ore 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
Lunedì 07 Maggio 2012, ore 17:00
Università di Milano Bicocca, Dipartimento di Matematica | |
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