Elliptic Equations and Gaussian Processes

  title={Elliptic Equations and Gaussian Processes},
  author={Giuseppe Trifoglio Benfatto and G. GALLAVOTTJ and F. NICOI},
We consider a Gaussian process P on Y’(P) generated by a polynomi:~l in the Laplace operator. We prove some support properties for P. As a byproduct we strenghten earlier results on the stochastic Dirichlet problem on bounded regions A C R”. We describe in this way the conditional P-distribution of the restriction to /l of y E Y’(P), supposing F is known outside A: a somewhat detailed description of the singularity of T on A is given.