\right) d\left( \lambda \times \mathbb{Q}\right) \\ &\geq &\int\limits_{\Omega \times \left[ 0,T\right] }h\left( h_{0}\left( \theta _{0}\left( t\right) \right) +\int\nolimits_{\mathbb{R}_{0}}h_{0}\left( \theta _{0}\left( t,x\right) \right) \nu \left( dx\right) \right) d\left( \lambda \times \mathbb{Q}\right) \\ &