Then, based on the local existence of the classical solution, we discuss the blow-up criterion. 利用光滑子的性质及逼近解的估计,通过取极限得到解的局部存在性。
Te relation between the weak solution and classical solution of two dimension elastic contact problem with friction were studied, and equivalence under a certain condition were given. 研究二维摩擦接触问题的弱解与古典解的关系,给出满足一定条件下的等价性证明。
The Weak Solution and Classical Solution of Two Dimension Elastic Contact Problem with Friction 二维弹性摩擦接触问题的弱解和古典解
The generalized solution and classical solution of the complex variable Lewy equation 复变量Lewy方程的广义解和古典解
This dissertation focuses on the researches on the local classical solution and global classical solution of the problem with a coupled system. 在第二章处理的是一个高维的含一个椭圆方程和两个抛物方程的耦合问题的局部古典解的存在性和唯一性。
By using approximating methods the global existence of the classical solution is proved for a free boundary problem which can be modelled by parabolic equation with singular term. 用逼近的方法,证明了一类具有无界系数的抛物型偏微分方程自由边界问题古典解的存在性。
First, the existence of the global generalized and classical solution to the above problem are proved by use of the Galerkin method and compactness theorem. 首先,应用Galerkin方法和紧致性定理证明上述问题整体广义解和整体古典解的存在性和惟一性;
The existence of a global classical solution is proved. 我们证明了该问题存在古典整体解。
Existence of Classical Solution for Feedback Control System of Elastic Beam Vibration with Point Observation Some sufficient conditions for the existence of positive classical solutions of a singular nonlinear Dirichlet problem, is given. 弹性振动点观测反馈控制古典解的存在性应用奇异非线性Dirichlet问题的上下解方法以及极大值原理,得到了一类奇异非线性Dirichlet问题正古典解的存在性。
A combustion free boundary problem in one dimensional case is studied. The existence and uniqueness of classical solution locally in time of this problem are obtained by the use of fixed point theorem. 研究了燃烧自由边界问题一维的情况,应用Schauder不动点定理得到了此问题局部古典解的存在唯一性。
By means of the continuous Glimm functional, the paper obtains the global existence and uniqueness of classical solution to the Cauchy problem for general first order quasilinear hyperbolic systems and an application is given. 利用连续Glimm泛函得到一阶拟线性双曲组具小全变差初值的Cauchy问题经典解的整体存在惟一性,并且给出一个应用举例。
Transition from T-Matrix Method to Classical Solution T-Matrix方法到经典解析解的过渡实现
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality. 利用其等价的抛物拟变分不等式,得到了该问题古典解的存在唯一性。
In the fourth chapter, we will discuss the existence and uniqueness of the global generalized solution and the global classical solution to the Cauchy problem for Bq model equation. 第四章研究Bq型方程的Cauchy问题的整体广义解和整体古典解的存在性和唯一性;
In this paper is studied with Galerkin method the pure unique existence of global generalized solution and global classical solution to the boundary problem of half linear equations of the following types. 本文中用Galerkin方法研究了一类高阶半线性方程组的边界问题整体广义解和整体古典解的存在唯一性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem. 运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
This solution analytically reduces to the classical solution for the line crack in a special case. 本解在特殊极限条件下可解析地退化到穿透型直线裂纹的经典解。
A class of potential equations with nonlinear term are discussed. The existence and uniqueness of a classical solution of this problem are obtained. 讨论了一类含非线性项的位势方程,得到了这个问题古典解存在唯一性。
Blowing up of nonnegative classical solution to a parabolic system 一个抛物系统非负古典解的爆破
Existence of the classical solution of a two phase stefan-signorini problem 一个二相Stefan-Signorini问题古典解的存在性
This paper obtains a uniform a priori estimate of classical solution to the Cauchy problem for quasilinear hyperbolic system by using the method of characteristic, which gives a lower bound on life-span of the classical solution. 本文利用特征线的方法,得到关于拟线性双曲方程组Cauchy问题经典解的一致先验估计.这样的估计给出了系统经典解存在区间的下界。
At the end, through a mapping and Banach fixed point theory, the existence and uniqueness of the classical solution to this integrodifferential equation is obtained. 最后建立一个映射,利用Banach压缩映射定理证明了这个积分微分方程存在唯一古典解。
Classical solution of the Stefan problem with a kinetic condition 含动力学条件的Stefan问题的古典解
This paper points out the disparity between the definition and the classical solution of TSP and its practical applications, and then presents a new definition of TSP and its effective algorithm conforming to practical applications, thus making TSP practically more valuable. 本文指出了货郎担问题的描述及经典解法与实际应用上的差距,从而给出与实际应用相符合的货郎担问题的新定义及其有效的算法,从而使该问题更具有重要的实用价值。
Under certain conditions, obtain the priori estimation results of the strict convex solution by employing auxiliary function and brake function. The existence and uniqueness of the strict convex classical solution of the problem are also obtained by employing continuity method. 在一定条件下,利用辅助函数和闸函数得到了上述问题严格凸解的先验估计结果,进而利用连续性方法得到了所述问题严格凸古典解的存在唯一性。
In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations. 最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性,得出了有关解的存在性的一些有用的推论。
Continuous Dependence on Parameter of the Classical Solution to First Order Quasilinear Hyperbolic Systems 一阶拟线性双曲组的经典解对参数的连续依赖性
Existence and uniqueness for a local classical solution of mixed problem of Quasilinear hyperbolic-parabolic coupled systems 拟线性双曲抛物偶合组混合问题的局部古典解的存在性和唯一性
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved. 文中证明了该问题古典解的局部存在性、整体存在性和唯一性。
Then, the results in this paper are compared with the classical solution, the elastic solution and the finite element solution, with experimental results and finite element solutions on vibration. 将可求得解析解的板壳结构的本文解与经典薄板理论解和弹性理论解及有限元解作了比较,在振动问题中将本文解与实验结果和有限元解作了比较。