The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains.
利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
This paper deals with the periodic optimal control governed by a degenerate nonlinear diffusion equation.
研究由退化非线性扩散方程所支配系统的周期最优控制问题。
These filters may boil down to solving nonlinear diffusion equations with initial values being input images.
这些非线性图像滤波大多源于求解初始值为输入图像的非线性扩散方程。
This paper presents a method for orientation estimation which combines the quadrature filtering with nonlinear diffusion.
提出了一种将正交滤波和非线性扩散相结合的取向估计方法。
In Chapter 1, we introduce the physics background of this class of nonlinear diffusion equation and generalize the monotone iteration.
第一章介绍了这类非线性扩散方程的物理背景以及单调迭代法的大致过程。
In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux.
本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计。
A corner preserving nonlinear diffusion filter is proposed, whose diffusion coefficient is the function of the gradient and the curvature.
通过设计扩散系数为梯度模及曲率的函数，提出了一种保护角点的非线性扩散滤波模型。
To preserve image features, the nonlinear diffusion coefficients are locally adjusted according to the directional derivatives of the image.
而且为了保持图像特征，利用图像的方向导数局部地调整非线性扩散系数。
The properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
This paper mainly studies the numerical solution of a class of nonlinear diffusion equations using a monotone iteration method with the global convergence.
本文主要运用一种具有全局收敛性的单调迭代法求解了一类非线性扩散方程的数值解。
As for stack imaging, CRS stack and nonlinear diffusion filtering have been used to enhance the effects of seismic imaging in various seismic processing steps.
在叠加成像方面，CRS叠加、非线性扩散滤波等可直接用来提高地震成像质量。
The key of image nonlinear diffusion filtering based on PDE (Partial Differential Equations) is to determine the appropriate diffusion mechanism and parameters.
基于偏微分方程的图像非线性扩散滤波，关键是确定合适的扩散机制与参量。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
Moreover, we study numerical methods for two kinds of diffusion equations, and discuss how to deal with numerically different boundary conditions and the nonlinear diffusion.
同时，我们详细研究了两类扩散方程的差分格式，讨论了处理各类边界条件的方法，以及处理非线性扩散的方法。
This paper discusses the problem of speckle reducing of SAR image based on nonlinear diffusion equation in order to reduce the noise of SAR image and improve the image's quality.
探讨SAR图像相干斑抑制的非线性扩散方程方法。以抑制SAR图像噪声，提高图像质量。
Using the features of wavelet transform that can save detail image information, an image denoising method with the combination of nonlinear diffusion and wavelet transform was presented.
利用小波变换能够很好地保留图像细节信息的特点，提出了一种将非线性扩散方程和小波变换相结合的图像去噪方法。
This paper has focused on nonlinear diffusion of sewage from factories and rivers on mixing region of salt and fresh water of seaward firth. Finite element method has been used in this paper.
本文考虑盐淡水混合海湾沿岸的工厂和河流汇入污染物的非线性扩散现象，用有限元法进行数值分析计算。
The description of these phenomena depends on the deepgoing research of the corresponding nonlinear-diffusion equations.
对这类现象的描述依赖于对相应反应扩散方程的深入研究。
The description of these phenomena depends on the deepgoing research of the corresponding nonlinear-diffusion equations.
对这类现象的描述依赖于对相应反应扩散方程的深入研究。
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