Geometric Flows and Geometric Operators
timetable:
Wed 10 Jun, 15:00 - 16:00, Aula Mancini
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seminar: A generalized Keller-Osserman condition (joint work with Luciano Mari and Alberto G. Setti)
speaker: Marco Rigoli (Dipartimento di Matematica, Università di Milano)abstract: We discuss a generalized Keller-Osserman condition for a class of differential inequalities on weighted Riemannian manifolds of the form
Lu >= b(x)f(u)l(
nabla u
)
where L is a non-linear diffusion type operator. We concentrate on non-existence results but in many instances the conditions we describe are in fact necessary for non-existence. The geometry of the underlying manifold does not affect the form of the Keller-Osserman conditions but is reflected, via bounds for the modified Bakry-Emery Ricci curvature or for the weighted volume growth of balls, in growth conditions for the functions b and l. In the process we introduce a new form of the weak maximum principle for functions with controlled growth,
timetable:
Wed 10 Jun, 15:00 - 16:00, Aula Mancini
<< Go back