In this paper, we study a finite element scheme of some semi-linear elliptic boundary value problems in high-dhnensjonal space. With uniform mesh, we find that, the numerical scheme derived from finite element method ...In this paper, we study a finite element scheme of some semi-linear elliptic boundary value problems in high-dhnensjonal space. With uniform mesh, we find that, the numerical scheme derived from finite element method can keep a preserved multisymplectic structure.展开更多
In this paper we research the lower bound of the eigenvalue of Spin^c Diracoperator on the Spin^c manifold. By the Weisenboeck formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang...In this paper we research the lower bound of the eigenvalue of Spin^c Diracoperator on the Spin^c manifold. By the Weisenboeck formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang [6]. We get a finer estimate of it. As an application, we give a condition when the Seiberg-Witten equation only has 0 solution.展开更多
文摘In this paper, we study a finite element scheme of some semi-linear elliptic boundary value problems in high-dhnensjonal space. With uniform mesh, we find that, the numerical scheme derived from finite element method can keep a preserved multisymplectic structure.
基金Supported in part by Mathematics Tianyuan Fund(10226002)
文摘In this paper we research the lower bound of the eigenvalue of Spin^c Diracoperator on the Spin^c manifold. By the Weisenboeck formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang [6]. We get a finer estimate of it. As an application, we give a condition when the Seiberg-Witten equation only has 0 solution.
