Introduction: the Euclidean case Approximation by a discrete operator

Introduction: the Euclidean case Approximation by a discrete operator Elliptic and parabolic regularity on graphs Estimates for the square root of L Elliptic and parabolic regularity for discrete elliptic operators on graphs Emmanuel Russ Université Paul Cézanne Aix-Marseille III LATP Joint with Nadine Badr, Université Paris XI CIRM, 25-28/03/2008 Emmanuel Russ

• order elliptic


• parabolic regularity theory


• iff there exist


• semigroup e?tl


• gaussian property


• contraction semigroup


• elliptic regularity


• parabolic regularity