Category Archives: PDE on Holder spaces

1.1. Newtonian Potentials

The goal of this note is to study solvability of second-order elliptic and parabolic equations in Hölder spaces. The prototype of elliptic equation is the Poisson equation     To understand the property of solution , one of the easiest ways is to use Newtonian potential. In Section 1.1, we derive Newtonian potential and study… Read More »