Let u be a solution to second order elliptic equations in Dini domains, a direct and elementary proof of the doubling property for u 2 over balls centered at points in the domain is presented. Moreover, under the zero...Let u be a solution to second order elliptic equations in Dini domains, a direct and elementary proof of the doubling property for u 2 over balls centered at points in the domain is presented. Moreover, under the zero Dirichlet boundary condition, the unique continuation at the boundary for Dini domains has been proved.展开更多
The Holocene aeolian shell-clastic sandstones at 13 places along the coasts of Fujian, Guangdong and Hainan Provinces are studied in the following respects; describing their features from both macroscopic and microsco...The Holocene aeolian shell-clastic sandstones at 13 places along the coasts of Fujian, Guangdong and Hainan Provinces are studied in the following respects; describing their features from both macroscopic and microscopic views, listing their distributions, altitudes and forming ages, and discussing the nomenclatures of this kind of rock and its differences from beach rock.展开更多
Based on the negative exponential pair-potential （I/R）n, the interaction potential between the micro/nano planar curve and the particle located outside the curve is studied. We verified that, whatever the value of e...Based on the negative exponential pair-potential （I/R）n, the interaction potential between the micro/nano planar curve and the particle located outside the curve is studied. We verified that, whatever the value of exponent n may be the potential of particle/plane-curve is always of unified curvature form. Furthermore, we proved that the driving forces acted on the particle may be induced by the highly curved micro/nano curve, and the curvature and gradient of curvature are confirmed to be the essential factors forming the driving force. Through the idealized numerical experiments, the accuracy and reliability of the curvature-based potential are examined.展开更多
文摘Let u be a solution to second order elliptic equations in Dini domains, a direct and elementary proof of the doubling property for u 2 over balls centered at points in the domain is presented. Moreover, under the zero Dirichlet boundary condition, the unique continuation at the boundary for Dini domains has been proved.
文摘The Holocene aeolian shell-clastic sandstones at 13 places along the coasts of Fujian, Guangdong and Hainan Provinces are studied in the following respects; describing their features from both macroscopic and microscopic views, listing their distributions, altitudes and forming ages, and discussing the nomenclatures of this kind of rock and its differences from beach rock.
基金supported by the National Natural Science Foundation of China(Nos.11072125 and 11272175)the NSF of Jiangsu Province(Nos.BK2011075 and BK20130910)the research found for doctor student education
文摘Based on the negative exponential pair-potential （I/R）n, the interaction potential between the micro/nano planar curve and the particle located outside the curve is studied. We verified that, whatever the value of exponent n may be the potential of particle/plane-curve is always of unified curvature form. Furthermore, we proved that the driving forces acted on the particle may be induced by the highly curved micro/nano curve, and the curvature and gradient of curvature are confirmed to be the essential factors forming the driving force. Through the idealized numerical experiments, the accuracy and reliability of the curvature-based potential are examined.
