In this paper,we study the spectrum of the subelliptic operator based on the Hopf fibration on the sphere of dimension 3.
本文研究了与紧流形S3上的与Hopf纤维丛相联系的亚椭圆算子的谱。
The non analytic hypoellipticity of two class partial differential operators is discussed .
讨论两类偏微分算子的非解析亚椭圆性 ,所用方法是直接构造这些算子的奇异解后 ,将问题转化成对某些特殊的常微分方程的讨论。
The theory of dealing with elliptic operator is given and proved,which divides the inner product of the operator into two operators that are estimated one by one.
给出了一类线性椭圆算子的处理方式中有关结论的证明,该结论巧妙地将椭圆算子作内积后分为两部分进行处理,进而得到它们的估计。
Discusses the relation between the dimension of the space R N and the first Dirichlet eigenvalue of second order linear elliptic operator by prababilistic method.
用概率的方法讨论了二阶线性椭圆算子的第一Ｄｉｒｉｃｈｌｅｔ特征值与空间维数之间的关系。
Based on elliptic operators,the initial boundary value problem:u/t-λ(/t)(2u/x2)+(4Φ(u))/x4=0,(x,t)∈QT,u(0,t)=u(1,t)=ux(0,t)=ux(1,t)=0,t∈(0,T),u(x,0)=u0(x),x∈(0,1),λ≥0,QT=(0,1)×(o,T),Φ(u)=|u|q-2u,q>1,has at most one L2 solution.
基于椭圆算子,证明初边值问题:u/t-λ(/t)(2u/x2)+(4Φ(u))/x4=0,(x,t)∈QT,u(0,t)=u(1,t)=ux(0,t)=ux(1,t)=0,t∈(0,T),u(x,0)=u0(x),x∈(0,1),λ≥0是粘性系数,QT=(0,1)×(0,T),Φ(u)=|u|q-2u,q>1,最多存在一个L2解。
In this paper,the eigenvalue problem about uniformly elliptic operators of the four orders with weighted functions is studied.
该文研究一类带有权函数的四阶一致椭圆算子的特征值问题 ,得到了任意特征值上界的一个估计式 ,其结果对偏微分方程理论研究和在物理及力学中的应用有着重要意义。
Harnack's Inequalities for a Class of Degenerate Elliptic Operators
一类退化椭圆算子的Harnack不等式
Geometry and Analysis for a Class of Nonlinear Elliptic Operater on Convex Domains
凸区域上一类非线性椭圆算子的几何与分析
(S)_+-property of Quasilinear Elliptic Operators and Equations of p(x)-Laplacian Type;
拟线性椭圆算子的（S）_+性质与p（x）-Laplacian型方程
self-adjoint elliptic differential operator
自伴椭圆型微分算子
Lattice Boltzmann Simulation for Drag of Flow Past Elliptic Cylinders
用格子Boltzmann方法计算椭圆柱绕流的阻力
On the overlapping domain decomposition methods for elliptic problems in multi-subdomain case
关于椭圆型问题的多子域重叠型区域分解算法
Formulae for Arithmetic on Genus 3 Hyperelliptic Curves
亏格为3的超椭圆曲线除子类群的计算公式
Domain Decomposition Methods for Fourth Order Elliptic Problems--Multi subdomain Overlap Case
解四阶椭圆问题的区域分解算法——多子域重叠情形
Partial Regularity of Quasi-linear Elliptic Systems with Discontinuous Coefficients and Green Function of A-harmonic Operators;
具间断系数拟线性椭圆组的部分正则性和A-调和算子的Green函数
elliptic maximum principle and krein-Rutman theory with parabolic maximum principle and operator semigrou;
椭圆极值原理与krein-Rutman定理以及抛物极值原理与算子半群
Stress Intensity Factor of Semi-elliptical Surface Cracks By Finite Element Analysis
半椭圆表面裂纹应力强度因子的有限元计算分析
Existence of Non-radial Solutions of Elliptic Equations in Divergence Type in R~N
一类R~N上含散度型算子的椭圆方程的非径向对称解的存在性
Analytical Model for Cross-Sectional Area of Workpiece in Round-Oval-Round Pass Sequence in Bar Rolling
棒材轧制圆-椭圆-圆孔型中轧件面积计算模型
Research on Finite Field Arithmetic and Scalar Multiplication of Elliptic Curve Cryptographys;
有限域运算和椭圆曲线数乘运算研究
Research on Fast Arithmetic of Elliptic Curve over GF(3~m)
GF(3~m)椭圆曲线群快速算术运算研究
Algorithms for a Vertex-Centered Covolume Method for Indefinite Elliptic Problem;
不定椭圆问题有限体积法的算法研究
Computation and Research for Multiple Solutions of Nonlinear Elliptic Problem;
非线性椭圆型方程多解的计算与研究
The Parallelization Algorithm Research of Elliptic Curve Scalar Multiplication on DSP;
椭圆曲线标量乘DSP并行算法的研究