偏微分算子

证明了特征重数可变的线性偏微分算子局部存在弱解的一个充分条件。

In this paper a sufficient condition for the local solvability of linear partial differential operators with multiple characteristics is proved .

对于由线性偏微分算子定义的问题，只要存在着相应的基本解，问题的偏微分方程总可转换成边界积分方程。

For a problem defined by linear partial differential operators , the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist .

线性偏微分算子右逆存在性问题的探讨

Discussion on the Existence of Continuous Linear Right Inverses for Partial Differential Operators

他们偏爱流行音乐。流形上的偏微分算子

They are biased toward ( s ) popular music partial differential operator on manifold

流形上各种算子（如偏微分算子）的研究。

Study of all kinds of operators ( such as partial differentia operators ) on manifolds .

这个是符号化的向量算子，其中它的分量是偏微分算子。

That was this symbolic vector operator in which the components are the partial derivative operators .

由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。

From this , we obtain some sufficient conditions for hypoellipticity and local solvability of those operators .

本文用矢量偏微分算子理论〔1〕计算了一种特殊结构电磁谐振腔的本征问题。

A new numerical method for the eigenvalue problem of electromagnetic cavity based on the theory of vector partial differential operator is presented .

基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。

Based on theory of hyperbolic linear partial differential operator , the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied .

该方法将图像看作一个连续信号，把图像处理操作写成一个偏微分算子，通过求解以原始图像为初值的偏微分方程实现图像滤波、对比度增强、边缘检测、图像分割等。

The operations , such as image filter , contrast enhancement , edge detection and image segmentation , can be realized by solving the PDEs with the original image as initial condition .

本文从连续图像出发，将二阶偏微分算子应用于影像函数，利用多重网格算子能得到近似影像的性质，得出一种多分辨影像分解的方法，经过图像重建过程得到融合影像。

Using the so-called approximation of image property by a multi-grid operator , we can derive a method of multi-resolution decomposition of the image , thus the fusion image is formed by reconstructing .

一类三阶微分算子自伴域的解析描述几个偏微分方程解算子的图灵可计算性

Analytic Descriptions of a Class Three-order Differential Operators ' Self-adjoint Domains

采用偏微分方程的算子解法，建立了板状弹性体的弯曲理论，把它的解分解为弯曲齐次解、特解、和衰减解；

( iv ) The bending theory of elastic plate domain is developed by the operator method for partial differential equations , and the solutions of this theory are decomposed into bending homogeneous solutions , particular solutions and attenuation solutions ;

在实际情况中，偏微分方程中的算子、右端项、边界条件、初始条件从过去的已知变成未知，而原方程的解仍然未知时，就构成了偏微分方程的反问题。

Generally speaking , if the operator , the right term , the boundary condition or the initial condition is not known and the solution of the equation isn 't known either , the partial differential equation becomes an inverse problem .