In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors ...In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors for non-autonomous stochastic reactiondiffusion equations on unbounded domains,when the density of stochastic noises approaches zero.The weak convergence of solutions is proved by means of Alaoglu weak compactness theorem.A differentiability condition on nonlinearity is omitted,which implies that the existence conditions for random attractors are sufficient to ensure their upper semi-continuity.These results greatly strengthen the upper semi-continuity notion that has been developed in the literature.展开更多
INTRODUCTION Forests are increasingly under threat due to logging,fire,severe drought and other natural disturbances,which may compromise their ability to conserve biodiversity and regulate climate systems(Powers and ...INTRODUCTION Forests are increasingly under threat due to logging,fire,severe drought and other natural disturbances,which may compromise their ability to conserve biodiversity and regulate climate systems(Powers and Marin-spiotta 2017).Extensive deforestation and forest degradation will leave behind a complex landscape consisting of a matrix of forest patches under different levels of succession(Quesada et al.2009).展开更多
文摘In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors for non-autonomous stochastic reactiondiffusion equations on unbounded domains,when the density of stochastic noises approaches zero.The weak convergence of solutions is proved by means of Alaoglu weak compactness theorem.A differentiability condition on nonlinearity is omitted,which implies that the existence conditions for random attractors are sufficient to ensure their upper semi-continuity.These results greatly strengthen the upper semi-continuity notion that has been developed in the literature.
文摘INTRODUCTION Forests are increasingly under threat due to logging,fire,severe drought and other natural disturbances,which may compromise their ability to conserve biodiversity and regulate climate systems(Powers and Marin-spiotta 2017).Extensive deforestation and forest degradation will leave behind a complex landscape consisting of a matrix of forest patches under different levels of succession(Quesada et al.2009).
