First Joint ENS-Lyon – SNS School of Mathematics
timetable:
Fri 28 Mar, 11:30 - 12:55, Aula Dini
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course: Well-posedness of ODE's,IV
speaker: Luigi Ambrosio (Scuola Normale Superiore)abstract: In the lectures we will illustrate the basic ingredients of the DiPerna-Lions theory, which provides well-posedness and stability results for ODE's \(\dot\gamma(t)=b(t,\gamma(t))\) associated to a nonsmooth vector fields. First we will revisit a few classical facts, namely the Cauchy-Lipschitz theory, the duality between transport and continuity equation and the method of characteristics. In the last part of the lectures I will show how well-posedness results can be transferred from the PDE (continuity or transport equation) to the ODE.
timetable:
Fri 28 Mar, 11:30 - 12:55, Aula Dini
<< Go back