Alessia Elisabetta Kogoj

Asymptotic average solutions for second order hypoelliptic PDEs

Abstract The Newtonian potential of a merely continuous function f does not have, in general, continuous second order derivatives. As a consequence, the Poisson equation Δ ⁢ u = - f {\Delta u=-f} is not, in general, solvable in the pointwise classical sense. However, a 1909 resul...