A simple proof of Korn's inequality in the second case is given. Technicalities are minimized by using both the compatibility condition between the symmetric and skew parts of the gradient of a vector field and a result of Magenes and Stampacchia [10] and Necăs [11] asserting the closure of the range of the gradient operator on L2-functions.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China