Analytic semigroups generated in $L^p$ by elliptic operators with high order degeneracy at the boundary
Simona Fornaro, Giorgio Metafune, Diego Pallara · Università del Salento · 2012
Given a regular bounded domain, we show that an elliptic operator whose diffusion coefficients degenerate at the boundary at least as the square of the distance from the boundary, endowed with a suitable domain, generates an analytic semigroup in $L^p$, $1