The complete Euler equation set is obtained through the introduction of the partial differential operator.
研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题;提出并证明了完全泛函的变分问题的定理,采用偏微分算子,给出了完全欧拉方程组。
Theorem 2 Let P(D)be the constant coefficient partial differential operator on the rapidly decreasing function space (?)(R~n).
研究了局部凸空间上对偶算子和偏微分算子的谱结构。
We consider compact partial differential operators in reproducing Hilbert spaces,and a sufficient and necessary condition for partial differential operators to be compact operators in reproducing Hilbert spaces is given,which made up the shortage of correlative res.
在本文中,研究了具有再生核的多元整函数Hilbert空间的基本性质,着重讨论了偏微分算子在该空间上的紧性,给出了一个用再生核函数刻画的偏微分算子是紧算子的充分必要条件,从而在具有再生核的多元整函数Hilbert空间上推广了已有的结果。
We consider bounded partial differential operators in reproducing Hilbert spaces,and a sufficient and necessary condition for partial differential operators to be bounded in reproducing Hilbert spaces is given.
文章研究了由生成函数生成的多元整函数Hilbert空间的基本性质,着重讨论了偏微分算子在该空间上的有界性,给出了一个用生成函数刻画的偏微分算子是有界算子的充分必要条件。
By using the Garding inequality and Fefferman-Phong inequality, the author obtaines some sufficient conditions for local solvability of linear partial differential operators with real principal part which may have multiple characteristics.
运用Ｇｉｒｄｉｎｇ不等式和Ｆｅｆｆｅｒｍａｎ－Ｐｈｏｎｇ不等式，建立了一类具实主符征（可以具重特征）的线性偏微分算子的局部可解性。
partial differential operator on manifold
流形上的偏微分算子
eigenvalue and eigenfunction of partial differential operator
偏微分算子的特征值与特征函数
Notes on Partial Differential Operators in Differential Geometry;
关于某些偏微分算子在微分几何中的一些应用
PDOs Related to Carnot Groups and Generalized Greiner Vector Field;
Carnot群上及与广义Greiner向量场相关的偏微分算子
Discussion on the Existence of Continuous Linear Right Inverses for Partial Differential Operators;
线性偏微分算子右逆存在性问题的探讨
A Class of Spaces of Entire Functions with Bounded Partial Different Operators;
一类具有有界偏微分算子的整函数空间
On Cyclicity of Partial Differential Operators In Functional Spaces Hγ_~2(C~2)
函数空间H_γ~2(C~2)中偏微分算子的循环性
The Spectram of Hamiltonian Operator Matrics Corresponding to Partial Differential Equation
由偏微分方程导出的Hamilton算子矩阵的谱
Turing-Computability of Solutions of Some Partial Differential Equations;
几个偏微分方程解算子的图灵可计算性
Fundamental Solution and Numerical Solution of Fractional Partial Differential Equation with Riesz(-Feller) Potential Operator;
含Riesz（-Feller）位势算子的分数阶偏微分方程的基本解与数值解
Differential Characteristic Set Algorithm for the Complete Symmetry Classification of(Partial) Differential Equations
偏微分方程(组)完全对称分类微分特征列集算法
Study on Algorithm of Image Smoothing Based on Partial Differential Equation;
基于偏微分方程的图像平滑算法研究
An Algorithm in Image Processing Based PDE;
一种基于偏微分方程的图像处理算法
The Lattice Boltzmann Method for Conservative Law Partial Differential Equations
守恒律偏微分方程的格子Boltzmann方法
Simulation of Lattice BGK Models for Some Nonlinear Partial Differential Equations
若干非线性偏微分方程的格子BGK模拟
Meta-analysis of 269 Minimal Deviation Adenocarcinoma of Cervix
269例子宫颈微偏腺癌的meta分析
Domain Decomposition Parallel Algorithms for Time-Dependent Partial Differential Equations;
时间依赖偏微分方程的区域分解并行算法
Numerical Computing of Two Kinds of Nonlinear Partial Integral Differential Equation;
两类非线性偏积分微分方程的数值计算
