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Isabeau Birindelli, Università di Roma La Sapienza
Maximum principle and the principal eigenvalue, a long story
Giovedì 09 Marzo 2017, ore 17:00 precise
Aula Chisini, Dipartimento di Matematica, Via Saldini 50 | |
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Denis Bonheure , Université Libre de Bruxelles
The nonlinear theory of electromagnetism of Born and Infeld
Mercoledì 01 Marzo 2017, ore 14:00 precise
Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano | |
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Giuseppe Mingione, Università di Parma
Recent progresses in Nonlinear Potential Theory
Venerdì 24 Febbraio 2017, ore 11:00 precise
Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano | |
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Boguslaw Zegarlinski , Imperial College London
Dissipative Dynamics for Large Interacting Systems
Lunedì 30 Gennaio 2017, ore 16:00
Aula Seminari del 6 piano | |
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Alessio Figalli, ETH Zurich
Convergence to equilibrium via quantitative stability
Lunedì 07 Novembre 2016, ore 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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