TY - JOUR
AB - This note deals with existence and uniqueness of (variational) solutions to the following type of stochastic partial differential equations on a Hilbert space H dX(t) = A(t, X(t))dt + B(t, X(t))dW(t) + h(t)dG(t), where A and B are random nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional Gaussian process adapted to the same filtration as the cylindrical Wiener process W(t), t >= 0.
AU - Röckner, Michael
AU - Wang, Yi
ID - 1591586
IS - 2
JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics
KW - fractional Brownian motion
KW - stochastic porous media
KW - Stochastic partial differential equations
KW - equations
KW - general Gaussian noise
SN - 0219-0257
TI - A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class
VL - 12
ER -