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- This book deals with nonlinear parabolic equations and system of second order in highter dimensional domains. 非线性抛物型方程在高维区域中的初一边值问题
- This paper deals with the quenching problem for degenerate semilinear parabolic equations with time delay. 考虑带时滞的退化半线性抛物方程的熄灭问题.
- It has appeared many results about regularity for weak solutions of quadric jncreasing parabolic equations. 得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
- In this paper, a necessary and sufficient condition for oscillation of neutral type parabolic equations with several delays is obtained. 本文得到了中立型抛物方程振动一个充分必要条件.
- Abstract: The global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied. 文摘:讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题.
- The results of super convergence and asymptotic expansions of the solution of second-order quasilinear parabolic equations using GFEM are calculated. 2.;给出了一类二阶拟线性抛物方程广义有限元解的渐近展式和超收敛结果。
- The development and the authors'works on the existence,uniqueness and properties of solutions of the nonlinear parabolic equations with singularities are introduced. 介绍了具奇性的非线性抛物方程解的存在性、唯一性和性质以及作者在这一领域的工作.
- The paper studies a problem of modelling the early growth of ductal carinoma in situ of the breast (DCIS).This model has decoupled parabolic equations and hyperbolic equations. 摘要研究了乳腺癌的早期生长模型(DCIS)，它为耦合了抛物方程、椭圆方程的自由边界问题。
- The existence and uniqueness of renormalized solutions of a class of strongly degenerate quasilinear parabolic equations under certain assumptions are discussed. 摘要研究一类强退化拟线性抛物方程的重整化解，在一定假设条件下得到了这类广义解的存在惟一性。
- The dynamics of a coupled system of semilinear parabolic equations with discrete time delays is investigated using the method of upper and lower solutions. 动态的耦合系统的半线性抛物方程的离散时间的拖延，研究使用的方法，上部和下部的解决办法。
- Hongxing Rui, Yang Danping, Parallel Schwarz algorithms for parabolic equations and error estimates. Numer. Math. J.Chinese University (English Series.), No.1, 1997. 芮洪兴;多孔介质中可混溶流动问题的混合元与区域分解特征差分格式;高等学校计算数学学报;1997年4期.
- The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. 利用上下解方法及相应的单调迭代序列给出了解的渐近性质。
- The paper studies a problem of modelling the early growth of ductal carinoma in situ of the breast (DCIS). This model has decoupled parabolic equations and hyperbolic equations. 研究了乳腺癌的早期生长模型(DCIS);它为耦合了抛物方程、椭圆方程的自由边界问题.
- Rui Hongxing, Yang Danping, Parallel Schwarz algorithms for parabolic equations and error estimates. Numer. Math. J.Chinese University (English Series.), No.1, 1997. 芮洪兴;多孔介质中可混溶流动问题的混合元与区域分解特征差分格式;高等学校计算数学学报;1997年4期.
- This paper emploied GP(Genetic Program) to identify and built the model of right-side function of parabolic equations and adopt regularization method to solute its intrinsic ill-posed problem. 摘要用遗传程序设计反演二维抛物型方程右端函数模型并在求解右端函数的适应值评价中我们采用正则化来解决反演中的不适定问题。
- A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved. 摘要考虑一类奇异非线性抛物方程，通过对其右端线性化，得到一个与之相应的变分问题，进而证明其弱解的存在唯一性。
- The existence of peoriodic solutions is given first, then the global attractivity of coupled system of semilinear parabolic equations is investigated by using upper and lower solutions and through principal eigenvalue analysis. 首先给出周期解的存在性，再用有序上下解及主特征值分析方法研究耦合半线性抛物方程组周期解的全局吸引性。
- 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。
- In this paper author has studied the nonlinear hyperbolic equations of higher order andnonlinear parabolic equations of higher order, proved that the solution of the problems are sure to blowup at a certain time. 本文研究了某一类非线性高阶双曲型方程与非线性高阶抛物型方程，证明了它们的解必在某一有限时刻blowup。
