On some singular limits of homogeneous semigroups

Abstract

This paper is based upon some handwritten notes Philippe sent us in late 1996, following his visit to UC Berkeley. He was interested in a scaling argument from our paper with Feldman [E-F-G], and in his notes extended this trick to cover general nonlinear evolutions governed by homogeneous accretive operators. We reproduce his proof in §2 below, and add some commentary and a few Pde examples