giovedì 3 aprile 2014 presso la Sala Conferenze "F. Tricerri" del Dipartimento di Matematica e Informatica "U. DINI"
Il Prof. Lars Diening
(Universität München)
terrà una conferenza dal titolo:
"Lipschitz truncation and applications to non-linear PDE"
Abstract:
The Lipschitz truncation method allows to approximate a Sobolev function by Lipschitz functions with only minor modifications of the original function. This technique is closely related to the Calderon-Zygmund decomposition of Sobolev function. The Lipschitz truncation can for example be used to identify the non-linear stress for Non-Newtonian fluids although only weak converge is at hand. In the time-dependent case the problem becomes much more difficult due to the presence of the pressure. This problem can be solved by introducing a solenoidal Lipschitz truncation. Another application of the Lipschitz is a direct proof of the so called harmonic and caloric approximation lemmas.