Dirichlet Conditions

The system governed by elliptic partical differental equations with Dirichlet conditions is discussed and the optimum system of the boundary control is given .

讨论了由椭圆型偏微分方程组Dirichlet问题所支配的系统，给出了最优边界控制的最优性组。

An Estimate for a Fourth Order Quasilinear Differential System with Dirichlet Boundary Conditions

四阶拟线性系统Dirichlet问题解的估计

This paper is concerned with controllability for heat equation with Dirichlet boundary conditions and bounded control .

讨论了带Dirichlet边界条件的具有约束控制热方程系统的能控性。

For Dirichlet boundary conditions , our numerical experiments show that the magnetic field concentrates on the outer boundary ;

数值模拟表明当柱中心使用Dirichlet边界条件时，磁场出现趋肤；

The corresponding model is a power law Logistic equation with Dirichlet boundary conditions and the method is a modified monotone method .

相应的模型是一种具有指数率的Logistic方程.所用的方法是一种改进了的单调性方法。

The values are derived in the massless scalar field which satisfies the Dirichlet boundary conditions .

这些值都是在满足Dirichlet边界条件的无质量标量场中得到。

Abstract In this paper the multi-molecular reactive model satisfying Dirichlet boundary conditions in the unbounded region is investigated .

本文讨论了在无界区域中，带有Dirichlet边界条件的一类多分子反应模型。

The Green 's function for the Poisson equation in the domains bounded by two intersecting spheres with Dirichlet boundary conditions is presented .

给出了在狄利克雷边界条件下，由两个相交球面围成的区域中泊松方程的格林函数。

In this paper , a Legendre collocation method for numerically solving Cahn Hilliard equations with Dirichlet boundary conditions is developed .

该文讨论用Legendre拟谱方法数值求解非线性Cahn-Hilliard方程的Dirichlet问题。

A sixth-order compact difference scheme and multigrid V-cycle algorithm are employed to solve the two-dimensional Poisson equation with Dirichlet boundary conditions .

利用六阶紧致差分格式、结合多重网格V循环算法求解了二维泊松方程的Dirichlet边值问题，并用不同的松弛算子与四阶精度格式的多重网格方法进行了比较。

This paper is to study the global existence and finite time blow up of positive solutions for the semi-linear parabolic system with non-local sources , subject to null Dirichlet boundary conditions .

研究带有齐次Dirichlet边界条件，具非局部化源项的半线性抛物型方程正解的整体存在与在有限时刻的爆破。

The blasting conditions and blasting rate estimates of positive solutions to semi-linear parabolic systems with nonlinear localized sources are studied in the paper , subjected to null Dirichlet boundary conditions .

研究了带有齐次Dirichlet边界条件，反应项为非线性局部化热源的半线性抛物型方程组正解的爆破条件及爆破速率问题。

The M-Q algorithm has been applied to the second-order elliptic problems with the Dirichlet boundary conditions , and the so called R-condition is involved in the convergence theorem and the optimal relaxation parameter .

M-Q算法所考虑的是二阶椭圆型Dirichlet边值问题，此时有所谓的R-条件成立，算法的收敛定理以及松弛因子的选取都需要该条件。

The experiments show that information in edge is remained at the same time of phase retrieval compared with the Fourier transform method . ( 3 ) A new derivation of Green function method in Neumann and Dirichlet boundary conditions is deduced .

实验结果表明该算法恢复相位的同时可保持图像良好的边缘信息。（3）给出了Neumann和Dirichlet边界条件下新的Green函数法推导方法。

A nonlinear degenerate parabolic equation subject to Dirichlet initial-boundary conditions is considered . Using eigenfunction and Jensen inequation , under certain assumptions , it is proved that the blowup of solution occurs at finite time .

考虑一类非线性退化抛物型方程初边值问题，利用特征函数和Jensen不等式，在一定条件下，证得方程的解在有限时刻爆破。

We investigate the effect of boundary conditions on the low temperature phonon transport in a quantum waveguide with structural defects by using the scattering-matrix method . A comparison between transmission coefficients is made when Neumann and Dirichlet boundary conditions are applied for acoustic modes , respectively .

运用散射矩阵方法，研究了Neumann边界条件和Dirichlet边界条件在低温下对结构不连续的纳米结构中的声学声子输运系数的影响。

Under the homogeneous Dirichlet boundary conditions , the methods of spectral analysis and bifurcation theory are used to derive the existence of the nontrivial positive static solutions , which originates from semi - trivial solutions . A stability condition for the bifurcated solution is also presented .

在齐次Dirichlet边界条件下，应用谱分析和分歧理论的方法，得到了发自半平凡解的非平凡正定态解的存在性，并给出了关于分歧解的稳定性的条件。

The third-order accuracy center finite difference scheme was introduced to solve two-dimensional Poisson equations with Dirichlet boundary conditions , and the second-order accuracy finite difference scheme was applied to mesh discretization near boundaries . With the over-relaxation matrix iteration algorithm , the numerical solution was finally achieved .

采用3阶精度中心差分格式对Dirichlet边界条件下的二维泊松方程进行离散，近边界网格点处采用2阶精度差分格式进行离散，利用超松弛迭代进行矩阵求解。

It is discussed that the oscillation of a class of second order nonlinear partial differential equations with continuous distribution delay under Robin and Dirichlet boundary value conditions . The sufficient conditions for the oscillation of solutions of the equation are obtained by using Green 's theorem and calculus techniques .

讨论一类具有连续分布滞量的二阶非线性偏微分方程在Robin，Dirichlet边界条件下解的振动性，利用Green定理及微积分技巧，获得该类方程解振动的充分条件。

The stochastic Green function for a slightly rough surface with the Dirichlet or Neumann boundary conditions , which enable us to incorporate the interaction between the object and the rough surface , and can greatly simplify the analysis , was analytically derived .

由粗糙表面的随机格林函数以及边界条件，可以将物体和粗糙面相联系，从而简化分析过程。

Numerical experiments show that , with increasing the number of unit cell , n , the results got from RVE method under the Dirichlet and Neumann boundary conditions converge towards those the obtained by the homogenization method from the upper and lower sides respectively .

数值结果表明，Dirichlet型和Neumann型边界条件下的代表体元法所得结果随着参与模拟的单胞（微结构的最小周期）个数的增加，分别从上下界逼近均匀化方法的结果。