boundary n. 边界,疆界,限界 (between);(球场)边线;界标;界限,范围,分野。 aboundary dispute 边界纠纷。 the boundary between Canada and the United States 美加国界。 boundaries on all sides 四方辐辏之所,四通八达。
In chapter 4 , we discuss the asymptotic behavior of the weak solution for the initial boundary value problem of the following love equation where fi is a bounded region in rn with smooth boundary 在第四章中,我们借用位势井的思想讨论非线性发展方程的初边值问题整体弱解的渐近性,其中( ? ) r ~ n并具有充分光滑边界, 0
By introducing the variational adjoint method to the inversion of initial boundary values and parameters of the one - dimensional shallow water model , the related adjoint equations and adjoint conditions are deduced 摘要利用变分伴随方法对一维浅水模式初始边界值和模式参数的反演进行了理论分析,导出了伴随方程及其伴随定解条件。
More precisely , we consider the existence time for a kind of the semilinear schrodinger equation , and the - existence of a solution of the initial boundary value problem for the klein - gordon equation with nonlinear damping and source terms ) dinger方程解的存在时间的估计和一类含非线性阻尼和源项的klein - gordon方程初边值问题解的存在性。
Secondly , through analyzing the reality of the world at present , make clear the difference and relation between the concepts of traditional security and non - traditional security so as to get the initial boundary of non - traditional security 二、通过对当今世界现实状况的分析,明确传统安全与非传统安全区别与联系,得出对非传统安全概念的初步界定。
This paper proves the existence and uniqueness of the local generalized solution of a nonlinear damped hyperbolic equation with the initial boundary value conditions and gives the sufficient conditions of blow - up of the solution of this problem 摘要本文证明一具有阻尼非线性双曲型方程初边值问题局部广义解的存在性和唯一性,并给出此问题解爆破的充分条件。
The paper deals with initial boundary value problem for the following equation in a unit disk . by means of applying the spectral and perturbations theories , solutions of the problem are constructed with small initial data in the form of series 利用谱论和挠动原理,以包含出现在初值函数中小参数的级数形式给出了该方程初边值问题解的适定性,并给出了解的长时间渐近表达式。
The main results include the following five parts : in chapter 2 , we consider the initial boundary value probelm for the nonlinear wave equation which comes from the elasto - plastic - microstructure models . the existence of global weak solution is proved by potential well method 在第二章中,利用位势井方法证明一类出自弹塑性微观结构的非线性波动方程的初边值问题的整体弱解的存在性、整体广义解和整体古典解的存在唯一性
In this paper we study the existence uniquness and the asymptotic behavior of global solutions and the nonexistence of the global solutions for the initial boundary value problems , cauchy problem and abstract cauchy problem to some nonlinear evolution equations of higer order 本文讨论几类非线性高阶发展方程(组)初边值问题、 cauchy问题和抽象初值问题整体解的存在唯一性、解的渐近性以及整体解的不存在性,主要结果有以下五部分内容
The second section : under the conditions of nonlinear boundary controbility , we consider the initial boundary value problem of camassa - holm equations with dissipative . by using the contractive mapping fixed point theorem and a priori estimates , the existence of global smooth s olution , global attractor in h ~ ( 2 ) , t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved 第二部分:在非线性控制边界条件之下,对于带耗散项的camassa ? holm方程的初边值问题,用压缩映射不动点原理及先验估计方法,证明了整体光滑解的存在性、整体解的指数稳定性、 h ~ 2空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。
Secondly , we study the asymptotic behavior of the global spherically symmetric smooth solutions to the initial boundary value problem for the multidimensional model for semiconductors in the exterior domain , i . e . , we prove that the solution of the problem converges to a stationary solution time asymptotically exponentially fast . this result was published in the journal of henan university ( natural science , 4 ( 2003 ) ) 其次,研究在外部区域上的高维流体动力模型初边值问题:证明了该问题的解依指数形式收敛到对应稳态问题的解,这一结果已发表在河南大学学报(自然科学版) 2003年第四期上。