Prof. Simona Fornaro “Multi-dimensional degenerate operators in Lp spaces”

This talk is concerned with second-order elliptic operators
whose diffusion coefficients degenerate at the boundary in first
order. In this borderline case, the behavior strongly depends
on the size and direction of the drift term. We show generation
of an analytic positive strongly continuous semigroup. The
main result is a precise description of the domain of the generator.