自旋铁磁链非线性方程的先验估计

自旋铁磁链非线性方程的先验估计 ON THE PRIORI ESTIMATES OF SOLUTION OF THE HEISENBERG SPIN FERROMAGNETIC CHAIN NONLINEAR EQUATION 杨复兴 Yang Fuxing.Wang Liangui 1 first-author 王连圭 1 吉首大学物理学系,湖南,416000 吉首大学物理学系,湖南,416000 Department of Physics,Jishou University Department of Physics,Jishou University 对自旋铁磁链非线性方程数学物理模型进行了研究,用leray-schauder固定点定理,在通常Sobolev空间片H s 和某个权重的sobolev空间,建立了该问题整体存在性的一个先验估计。 We have studied a mathematical model of the Heisenberg spin ferromagnetic chain equation,and by using leray-schauder fixed point theorem,we have established a priori estimates of the global existence of this problem in the usual Sobolev space H5 and certain weighted sobolev. 自旋铁磁链非线性方程 数学物理模型 先验估计 heisenberg spin ferromagnetic chain nonlinear equation mathematical model of physics priori estimates O411.1 1996-03-01 2021-04-01 3