Multidimensional system of ferro-magnetic chain type
type: Item
instance of: scholarly article
title: Multidimensional system of ferro-magnetic chain type
zbMATH Open document ID: 0798.35140
author: Zulin Zhou
author: Hesheng Sun
author: Boling Guo
published in: Science in China. Series A
publication date: 1994-03-27T00:00:00Z
review text: A generalized system of ferromagnetic chain type of the form \[ z_ t= [\overset {*} g_ 1(z)\land g_ 2(z)\land\cdots\land g_{n-2}(z)\land \Delta z]+ f(x,t,z), \] where \(z= (z_ 1,\dots,z_ n)= z(x)\), \(x\in \mathbb{R}^ m\), \(t\in \mathbb{R}^ +\), \(n\geq 2\) is considered in the multidimensional case \(m\geq 1\) under the assumptions: \(g_ 1(z)\equiv z\) and \(g_ k(z)= \alpha_ k\) are linearly independent constant vectors in \(\mathbb{R}^ n\) for \(k= 2,\dots,n- 2\). With the help of Galerkin's method the global solvability of the homogeneous boundary problem for a class of multidimensional generalized systems of ferromagnetic chain type is proved.
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 82D40
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 541477
zbMATH Keywords: spin system
zbMATH Keywords: Galerkin's method
zbMATH Keywords: global solvability
zbMATH Keywords: homogeneous boundary problem
reviewed by: A. V. Aminova
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 541477