Elliptic equations in open subsets of infinite dimensional Hilbert spaces
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If you have a question about this talk, please contact Mustapha Amrani.
Stochastic Partial Differential Equations
We consider the equation
$$
lambda phi Lphi = f
$$
where $lambda geq 0$; and L is the Ornstein{Uhlenbeck operator defined in an open subset O of a Hilbert space H, equipped with Dirichlet or Neumann boundary conditions on the boundary of O. We discuss some existence and regularity results of the solution u of the above equation when the given function f belongs to the $L^2(O; mu)$ and $mu$ is the invariant measure of L
This talk is part of the Isaac Newton Institute Seminar Series series.
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