开子集 meaning in Chinese
open set
Examples
- Regular open subset
正则开子集 - Second , we introduce some new concepts such as j - viscosity solutions etc and provide some relative properties in order to study the existence and limiting behavior of the solution of the multidimensional landau - lifshitz equations . by virtue of these results we prove that there exists a smooth solution of the multidimensional landau - lifshitz equation with values in unit sphere . we show also that there are two disjoint open subsets such that the solution tends to ( 0 , 1 , 0 ) and ( 0 , - 1 . 0 ) on their arbitrary inner compact sets respectively , and to ( 0 , 0 , 1 ) somewhere in the interface which separates the two open subsets
作为应用，我们利用这些性质证明取值于三维单位球面的n维landau - lifshitz方程存在光滑解，我们还证明存在两个不相交的开子集使得这个光滑解在这两个集合之一内任一紧子集上趋于( 0 . 1 , 0 ) 、在另一集合之内任一紧子集上趋于( 0 , - 1 , 0 ) ，这个光滑解在这两个集合的界面的一些点趋于( 0 , 0 , 1 ) 。 - We can show the existence of solutions to the differential inclusions problem by baire category method , and so the formal problem . the main steps of using baire category method are as follows . first we construct a complete metric space v . then with the help of the likelihood functional , we obtain a series of open and dense subset vs in v . finally , by baire category theorem , we know that the subset vs is dense in v
本文指出在适当的条件下，可以将原问题转化为一个微分包含问题：对于此微分包含问题运用baire稠密性方法，构造一个完备的度量空间，也就是容许函数空间，再利用似然泛函构造出它的一列稠密开子集(实际上是逼近解集) ，从而由baire稠密性定理可以得到解的存在性。