查询词典 cauchy kernel

In this paper we prove the existence and uniqueness for the global solutions of the Cauchy problem of the coupled system of semilinear wave equation s.

本文证明了一类半线性波动方程组Cauchy问题整体解的存在唯一性。

First, we discuss the noncharacteristic Cauchy problem for 1-D heat equation.

首先，对一维的热传导方程的非特征Cauchy问题，我们利用边界积分方法将问题的求解转化成解积分方程组的问题，再对积分方程组进行离散化来数值求解，最后的数值结果表明我们的算法是有效的。

Firstly, by constructing an abstract operator, the original problem can be transformed into a Cauchy problem for an abstract operator equation.

首先，通过构造了一个抽象算子，将原问题转化为一个抽象算子方程的Cauchy问题。

First, we establish an energy inequality in the case that no boundary conditions are imposed, and obtain a uniqueness result in the Cauchy problem for the model.

首先，对没有任何边界条件的方程给出一个能量不等式，并且获得Koiter壳的一个Cauchy问题的唯一性结果。

In Chapter 4, on the basis of introducing the theory of linear operator semigroup and the Cauchy problem in Hilbert space, this dissertation has researched the method on solving solution of distributed parameter system, and the model estimation and optimal control of the nonlinear distributed parameter system.

本文第四章在介绍线性算子半群理论及希尔伯特空间中的柯西问题的基础上，研究了分布参数系统的近似解求解方法，一类非线性分布参数系统的模型辩识和最优控制等问题。

When the space variable is one-dimension, mathematicians had made thoroughly study in the existence and uniqueness of Cauchy problem or the first boundary problem.

当空间变量是一维时，人们对该退化抛物方程的Cauchy问题和第一边值问题解的存在唯一性已经进行了深入的研究。

In Chapter 3, as the first step, we consider the Cauchy problem for the simplified hydrodynamic model (1.2.2) for semiconductors in themulti-dimensional space.

在第三章中，作为研究的出发点，我们首先考虑了半导体模型中的高维简化Euler-Poisson方程组(1.2.2)的柯西问题，当初值在平衡态附近扰动时，建立了该问题经典解的整体存在性，唯一性和指数稳定性。

In chapter 3,we consider the Cauchy problem of transportation equation 〓Which is referred to as the simplification model of gas dynamics equations with constantpressure,and prove the existence and uniqueness of weak solution.

在第三章，我们考虑了运输方程〓，2的Cauchy问题，并且证明了广义解的存在性。最后，我们考虑下列二维Cauchy问题〓通过引进新的广义解定义，证明了解的存在唯一性。这个解可能含〓波。

In this thesis, we study Cauchy rational interpolation problem on the set of distinct nodes by algebraic method and give some algorithms in univariate and multivariate cases.

我们推广了有理插值问题解的概念，给出了扩展弱解，弱解和解的定义，并且说明在给定一个代数结构后扩展弱解集构成一个线性空间。

In this paper,we study the Cauchy problem of nonlinear Klein-Gordonequations By introducing a family of potential wells, we not only give a threshold resultof global existence and nonexistence of solutions, but also obtain the vacuumisolating of solutions.

本文研究了以下非线性K1ein-Gordon方程的柯西问题通过引进一族位势井，不仅得到了该问题解的整体存在性与不存在的门槛结果，而且也得到了解的真空隔离现象。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。