A class of three - levels and five - points high - precise explicit schemes for hyperbolic equation 双曲型方程的一类三层五点高精度显格式
The nonconforming finite element approximations to hyperbolic equation on anisotropic meshes 双曲型方程的一类各向异性非协调有限元逼近
Error estimates of the semi - discrete finite element method for a class of linear hyperbolic equations 线性双曲型方程半离散有限元方法的误差估计
Error estimates of the semi - discrete finite elementmethod for a class of nonlinear hyperbolic equations 关于非线性双曲型方程半离散有限元方法的误差估计
A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes , the optimal error estimates are derived 摘要在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。
In chapter 3 , we study cauchy problem of a class of abstract nonlinear systems with damping : the existence and non - existence of the global solution are proved by potential well method 在第三章中，利用位势井方法研究一类具阻尼的抽象非线性双曲型方程的cauchy问题的整体弱解的存在与不存在性
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。
Finally , chapter 5 is concerned with the initial - boundary value problem for a class of quasi - linear hyperbolic wave equations we use a lemma to gain the sufficient condition of nonexistence of global solution of the initial - boundary value problem for the second - order quasi - linear hyperbolic equation 第五章研究了一类拟线性双曲型波动方程的初边值问题运用一引理成功地得到了此类二阶拟线性双曲型方程初边值问题整体解爆破的充分条件
Chapter 3 deals with the lumped mass finite element methods and error estimations for fourth order nonstationary elliptic equation . chapter 4 disscusses finite element methods and error estimations for linear and nonlinear the hyperbolic equations . chapter 5 presents the lumped mass finite element methods and error estimations for the nonstationary stokes problem 全文分六章，第一章绪论；第二章论述解抛物问题的质量集中非协调有限元方法及其误差估计；第三章论述非稳态四阶椭圆方程的有限元方法及其误差估计；第四章论述线性与非线性双曲型方程的有限元方法及其误差估计；第五章论述stokes问题的质量集中有限元方法及其误差估计；第六章论述管道bingham流的质量集中有限元方法及其误差估计。
Moreover , we ' d like to study the blow - up speed of solution , since there are many results about blow - up speed obtained in elliptic equations , hyperbolic equations but not in schrodinger equations . i ' ve looked through the latest 3 years " " chinese mathematical digest " and " mathematics review " and found there ' s no paper which is mostly concerned at the study of blow - up speed of nls although in some references there are some related results implied in them 另外，就是想研究解的爆破速度，因为关于解的爆破速度这方面的内容在抛物型方程、双曲型方程等中都有讨论，但笔者查阅了近三年的《中国数学文摘》和《 mathematicsreview 》没有发现以具体研究nls爆破速度为核心的文章，尽管在其它一些文献中有一些隐性的结论，所以这是一个较好的课题。
