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# Elliptic Equations and Gaussian Processes

@inproceedings{Benfatto1980EllipticEA, title={Elliptic Equations and Gaussian Processes}, author={Giuseppe Trifoglio Benfatto and G. GALLAVOTTJ and F. NICOI}, year={1980} }

- Published 1980

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.