NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS
NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS
复制标题
Sobolev向量场的非局部KORN型表征
DOI：
10.1142/s0219199712500289
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发表时间：
2012
影响因子：
1.6
通讯作者：
T. Mengesha
中科院分区：
文献类型：
--
作者：
T. Mengesha
利用Korn不等式的思想，得到了Sobolev向量场的一个新的非局部特征.作为这一结果的应用，给出了刚体运动的非局部识别方法。给出了有界变形向量场的非局部特征。证明了Lp中有界向量场列的一个紧性准则。
A new nonlocal characterization of Sobolev vector fields in the spirit of Korn's inequality is obtained. As an application of this result, a nonlocal means of identification of rigid motions is given. A nonlocal characterization of vector fields with bounded deformation is also presented. A compactness criteria is proved for bounded sequences of vector fields in Lp.