Elliptic equations in open subsets of infinite dimensional Hilbert spaces
- đ¤ Speaker: Da Prato, G (Pisa)
- đ Date & Time: Monday 04 January 2010, 10:00 - 11:00
- đ Venue: Seminar Room 1, Newton Institute
Abstract
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
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Da Prato, G (Pisa)
Monday 04 January 2010, 10:00-11:00