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nonlocal parabolic equation 非局部抛物型方程
Abstract: We think about a certain semilinear parabolic equation with nonlocal source, and prove that its solutions would blow up in finite time under a propriety hypothesis. 文章摘要: 考虑一类非局部源的半线性抛物方程组，其解在适当的条件下在有限时刻爆破。
The rotated parabolic equation method was presented to compute the bistatic radar cross section (RCS). 并提出了旋转抛物线方程算法，实现了目标任意角度雷达散射截面的快速计算。
So this method is effective in soluting two-dimensional parabolic equation and can be widely used. 该方法是求解二维抛物型方程的有效方法，必将得到更广泛的应用。
This research shows that whatever mode loading, the relation of coal deformation and drainage is parabolic equation. 试验结果表明:无论何种加载方式,煤体变形与瓦斯排放量服从抛物线方程;
The property of the viscosity solutions of the Cauchy problem of a degenerate parabolic equation not in divergence form is studied. 研究一类非散度型退化抛物方程Cauchy问题粘性解的性质。
The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo-differential operator. 通过对传统波动方程的分解和伪微分算子的近似展开，获得了标准抛物线方程。
The existence of the renormalized solutions for the initial-boundary value problem of parabolic equation with small measure is established. 建立了一类带小测度的抛物型方程的初边值问题的重整化解的存在性。
In this paper, anisotropic nonconforming rotated Q1 element approximation to the second order parabolic equation on square meshes is discussed. 摘要在正方形网格上讨论了非协调旋转Q1元对二阶抛物方程的逼近。
The parabolic equation (PE) is used to compute the bistatic RCS of two-dimensional convex objects and simulate the scattering of multi-objects. 摘要文章应用抛物线方程求解二维凸面物体的双站雷达散射截面，模拟多体散射问题。
This summarize is about the Controllability Development Course of Parabolic Equation .The summarize is divided into three parts . 这篇是关于抛物方程的能控性发展历程的综述,它分为三部分。
In this paper, the approximation of the second order parabolic equation is studied with the anisotropic biquadratic element. 摘要本文研究具有各向异性特征的双二次元对二阶抛物方程的逼近。
In this paper, we study the global existence and finite time blow up of the solutionfor a nonlinear degenerate parabolic equation with a non-local source. 本文研究了一类含非局部源的退化非线性抛物型方程的解的整体存在性和有限时刻爆破性质。
In this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained. 摘要本文研究了具有边界摄动的抛物型方程。利用可解性的讨论，得到了原问题的摄动解。
Migoguchi N, Yanagida E.Critical exponent for the blow up of solutions with sign changes in a semi linear parabolic equation[J].Math.Ann, 1997, 307:663. 李俊锋刘伟安等.;半线性抛物方程可变号解的全局存在和爆破[J]
In this paper,the parabolic equation with boundary perturbation is considered.Using discussion of the solvability,the perturbed solution of original problem is obtained. 本文研究了具有边界摄动的抛物型方程.;利用可解性的讨论;得到了原问题的摄动解
The theory of parabolic equation (PE) was presented, and was applied to the scattering analysis of two dimensional perfectly electric conducting objects. 摘要对抛物线方程算法的基本原理进行了详细论述，并将其运用到二维导体目标的电磁散射特性分析中。
The uniqueness of solutions to the initial boundary value problems of a degenerate parabolic equation is proved by means of a regularizing technique based on elliptic operators. 摘要借助正则化技术，基于椭圆算子证明一种退化抛物方程初边值问题广义解的惟一性。
On the other hand, the superclose property of biquadratic element for parabolic equation under fully discrete schemes are discussed and the ideal results are gained. 另外，本文还应用双二次元，讨论了抛物方程在全离散格式下的超逼近性质，同样得到了理想的结果。
The existence and uniqueness of renormalized solutions of a doubly degenerate parabolic equation are discussed by means of parabolic regularization method. 利用抛物正则化方法证明了双重退化抛物型方程重整化解的存在惟一性。

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