Philippe Clement, Marta Garcia-Huidobro,
Raul F. Manasevich
Abstract:
We discuss some nonlinear problems associated with an infinite
dimensional operator
defined on a real separable Hilbert space
.
As the operator
we choose the
Ornstein-Uhlenbeck operator induced by a centered Gaussian
measure
with covariance operator
.
Published May 15, 2007.
Math Subject Classifications: 35J65, 35J25.
Key Words: Hilbert space; Ornstein-Uhlenbeck operator;
nonlinear elliptic problems.
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Philippe Clément Mathematical Institute, Leiden University, P.O. Box 9512, NL-2300, RA Leiden and EEMCS/ DIAM, TU Delft, P.O. Box 5031, NL-2600, GA Delft, The Netherlands email: clement@math.leidenuniv.nl | |
Marta García-Huidobro Departamento de Matemáticas Pontificia Universidad Católica de Chile Casilla 306, Correo 22, Santiago, Chile email: mgarcia@mat.puc.cl | |
Raúl F. Manásevich Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile Casilla 170, Correo 3, Santiago, Chile email: manasevi@dim.uchile.cl |
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