Scale invariant elliptic operators with singular coefficients

G. Metafune, N. Okazawa, M. Sobajima +1

We show that a realization of the operator $L=|x{|}^{\alpha }\Delta +c|x{|}^{\alpha -1}\frac{x}{|x|}\cdot \nabla -b|x{|}^{\alpha -2}$ generates a semigroup in $L^p({\mathbb{R}}^N)$ if and only if $D_c=b+(N-2+c)^2/4…