Boguslaw Zegarlinski , Imperial College London Dissipative Dynamics for Large Interacting Systems Monday, January 30 2017, at 16:00 Aula Seminari del 6 piano |
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Alessio Figalli, ETH Zurich Convergence to equilibrium via quantitative stability Monday, November 07 2016, at 16:30 Aula Chisini, via Saldini 50 |
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Abstract
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Geometric and functional inequalities play a crucial role in several PDE problems.
Very recently there has been a growing interest in studying the stability for such inequalities. The basic question one wants to address is the following:
Suppose we are given a functional inequality for which minimizers are known. Can we prove, in some quantitative way, that if a function “almost attains the equality” then it is close to one of the minimizers?
Actually, in view of applications to PDEs, a even more general and natural question is the following: suppose that a function almost solve the Euler-Lagrange equation associated to some functional inequality. Is this function close to one one of the minimizers?
While in the first case the answer is usually positive, in the second case one has to face the presence of bubbling phenomena.
In this talk I’ll give a overview of these general questions using some concrete examples, and then present recent applications to some fast diffusion equation related to the Yamabe flow. |
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François Charles, Université Paris-Sud (Orsay) Constructing curves on surfaces Thursday, October 06 2016, at 16:30 Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Endre Szemerédi, Rutgers University On the fundamental theorem of Freiman Monday, October 03 2016, at 16:03 Aula Chisini, via Saldini 50 |
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Walter Craig, McMaster University Vortex filament dynamics Wednesday, September 21 2016, at 16:30 precise Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Elon Lindenstrauss, Hebrew University of Jerusalem DIAGONAL FLOWS, JOININGS AND ARITHMETIC Monday, July 11 2016, at 16:30 Aula Chisini, via Saldini 50 |
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