摘要

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.

  • 出版日期2009-6

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