Generation of analytic semi-groups in L 2 for a class of second order degenerate elliptic operators
Piermarco Cannarsa, Dario Rocchetti, Judith Vancostenoble · Cineca Institutional Research Information System (Tor Vergata University) · 2008
We study the generation of analytic semigroups in the L-2 topology by second order elliptic operators in divergence form, that may degenerate at the boundary of the space domain. Our results, that hold in two space dimensions, guarantee that the solutions of the corresponding evolution problems support integration by parts. So, this paper provides the basis for deriving Carleman type estimates for degenerate parabolic operators.