In this paper, the dimensional-free Harnack inequalities are established on infinite-dimen- sional spaces. More precisely, we establish Harnack inequalities for heat semigroup on based loop group and for Ornstein-Uhle...In this paper, the dimensional-free Harnack inequalities are established on infinite-dimen- sional spaces. More precisely, we establish Harnack inequalities for heat semigroup on based loop group and for Ornstein-Uhlenbeck semigroup on the abstract Wiener space. As an application, we establish the HWI inequality on the abstract Wiener space, which contains three important quantities in one inequality, the relative entropy "H", Wasserstein distance "W", and Fisher information "T".展开更多
为考察山地条件下危废焚烧厂二[口恶]英排放对周边环境的影响,文章利用酶联免疫法和高分辨气相色谱高分辨质谱法对重庆山区某危废焚烧厂周边土壤二[口恶]英进行检测,并模拟焚烧厂二[口恶]英排放的大气扩散与沉降分布,预测周边土壤二[口...为考察山地条件下危废焚烧厂二[口恶]英排放对周边环境的影响,文章利用酶联免疫法和高分辨气相色谱高分辨质谱法对重庆山区某危废焚烧厂周边土壤二[口恶]英进行检测,并模拟焚烧厂二[口恶]英排放的大气扩散与沉降分布,预测周边土壤二[口恶]英增量。结果表明:周边土壤二[口恶]英浓度均值为2.90 ng I-TEQ/kg,且土壤二[口恶]英指纹特征分布与焚烧厂烟气相似;二[口恶]英扩散落地浓度分布与焚烧厂所在的山谷走势符合性较好,与年主导风向相关性较差;长期(25 a)运行后,周边土壤二[口恶]英最大增量为1.78×10-4ng I-TEQ/kg,低于中国农业用地标准(4 ng I-TEQ/kg)。展开更多
基金Supported by National Natural Science Foundation of China (Grant No. 10721091) and the 973-Project (Grant No. 2006CB805901)
文摘In this paper, the dimensional-free Harnack inequalities are established on infinite-dimen- sional spaces. More precisely, we establish Harnack inequalities for heat semigroup on based loop group and for Ornstein-Uhlenbeck semigroup on the abstract Wiener space. As an application, we establish the HWI inequality on the abstract Wiener space, which contains three important quantities in one inequality, the relative entropy "H", Wasserstein distance "W", and Fisher information "T".
文摘为考察山地条件下危废焚烧厂二[口恶]英排放对周边环境的影响,文章利用酶联免疫法和高分辨气相色谱高分辨质谱法对重庆山区某危废焚烧厂周边土壤二[口恶]英进行检测,并模拟焚烧厂二[口恶]英排放的大气扩散与沉降分布,预测周边土壤二[口恶]英增量。结果表明:周边土壤二[口恶]英浓度均值为2.90 ng I-TEQ/kg,且土壤二[口恶]英指纹特征分布与焚烧厂烟气相似;二[口恶]英扩散落地浓度分布与焚烧厂所在的山谷走势符合性较好,与年主导风向相关性较差;长期(25 a)运行后,周边土壤二[口恶]英最大增量为1.78×10-4ng I-TEQ/kg,低于中国农业用地标准(4 ng I-TEQ/kg)。