Arnaud Beauville, Université de Nice Recent progress on rationality problems Monday, May 14 2018, at 15:30 Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano |
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Gilles Carron, Laboratoire de Mathématiques Jean Leray (UMR 6629), Université de Nantes, CNRS The constant scalar curvature equation in some singular spaces Wednesday, March 14 2018, at 16:30 Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 |
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Alessandra Lunardi, Università di Parma Sobolev and BV functions in infinite dimension Friday, February 23 2018, at 10:30 precise Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 |
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Abstract
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In Hilbert or Banach spaces $X$ endowed with a good probability measure $\mu$ there are a few "natural" definitions of Sobolev spaces and of spaces of bounded variation functions. The available theory deals mainly with Gaussian measures and Sobolev and BV functions defined in the whole $X$, while the study and Sobolev and BV spaces in domains, and/or with respect to non Gaussian measures, is largely to be developed.
As in finite dimension, Sobolev and BV functions are tools for the study of different problems, in particular for PDEs with infinitely many variables, arising in mathematical physics in the modeling of systems with an
infinite number of degrees of freedom, and in stochastic PDEs through Kolmogorov equations.
In this talk I will describe some of the main features and open problems concerning such function spaces.
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Maïtine Bergounioux, Université d'Orléans Variational method for dynamical PET reconstruction Monday, January 15 2018, at 17:00 Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 |
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