Piotr KasprzakFlow invariance over closed sets under general dissipativity conditions
During the lecture some flow invariance results will be given for differential equations over Banach spaces under generalized dissipativity conditions. The technical aspect of this approach consist of constructing the approximate solutions and the parwise refinements of these via maximality procedures. The lecture is based on the paper of M. Turinici "Flow invariance over closed sets under general dissipativity conditions", Sci. Ann. Univ. Agric. Sci. Vet. Med. 47 (2004), no. 2, 35--67.