It is proved that under the condition that normalized coordinates exist the system must be weakly linearly degenerate if the Cauchy problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity with arbitrary small C 1 initial data always admits a unique global C 1 solution u=u(t,x) on t≥0.
对具常重特征的拟线性双曲组 ,在正规化坐标存在的假设下 ,证明了若其Chauchy问题对任意小C1初值总有整体C1解 ,则方程组必为弱线性退化 。
Under the assumption of non-weak linear degeneracy, we obtain the relations between the life-span of classical solution to quasilinear strictly and non-strictly hyperbolic system and the index α of non-weak linear degeneracy under weaker decaying rates of the initial data.
本论文系统地论述了具有小而衰减初值的拟线性双曲组经典解的奇性形成，分别得到了严格双曲组与非严格双曲组在非弱线性退化假设下经典解的生命跨度与非弱线性退化的指标α和初值的衰减程度的关系。
This paper is concerned with the existence for nonnegative viscosity solutions of the nonlinear degenerate elliptic equation F(Du, D2u) + us = f in RN, where s > 0, F satisfies some conditions about p (p > 2).
本文研究了RN中的非线性退化椭圆型方程F（Du，D2u）＋u3=f的非负粘性解的存在性，其中s＞0，F满足某些关于p（p＞2）的条件。
Properties of Solutions for Nonlinear Degenerate Reaction-Diffusion Systems;
非线性退化反应扩散方程组解的性质
The Dirichlet Problem for a Quasilinear Degenerate Parabolic Equation in Higher Dimension;
多维拟线性退化抛物方程的Dirichlet问题
The Existence of Classical Solutions for a Class of Parabolic Equation with Strong Nonlinearity and Degeneration;
一类具强非线性退化抛物方程古典解的存在性
Nonlinear Degenerate Parabolic System with Weighted Non-local Source
具有加权非局部源的非线性退化抛物方程组
Adaptive control on state delay for a type of linear delay degenerate systems
一类含状态变时滞线性退化系统的自适应控制
The Study of the Cauchy Problem of a Second Order Quasilinear Degenerate Parabolic Equation and the Parallelism of a Riemannian Manifold;
二阶拟线性退化抛物方程的Cauchy问题和黎曼流形平行性的研究
non-degenerate symmetric bilinear form
非退化对称双线性型
Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element
三维退化纤维梁单元线性和非线性有限元分析
A Class of Degenerate Parabolic Equations with a Concentrated Nonlinear Source
具集中非线性源的一类退化抛物方程
Deterioration of tensile behavior of steel strands corroded by chloride
氯盐腐蚀钢绞线的受拉性能退化特征
Qualitative Study to a Class of Quasilinear Degenerate Parabolic Systems
一类具退化性非线性抛物方程组的定性研究
Linear parameter varying estimation for early deteriorated turbo fan engine performance parameter
涡扇发动机早期退化性能的线性变参数估计
Study of Online Optimal Control in Annealing Process and Evaluation and Diagnosis of Annealing Performance for High Performance Hydrogen Bell-type Annealers
全氢炉退火过程在线优化控制及退火性能评估诊断策略研究
On the Cauchy Problem for Degenerate Parabolic Equations with Strongly Nonlinear Sources;
具强非线性源退化抛物方程解的柯西问题
Singular Solution of a Quasilinear Convection Diffusion Degenerate Parabolic Equation with Absorption;
一类拟线性吸收退化抛物方程的奇异解问题
NONDEGENERATE INVARIANT BILINEAR FORMS AND THE CENTROID ON LIE TRIPLE SYSTEMS;
李三系上的非退化的不变双线性型与形心
Acquaintance of the Relationship between Multiple Optimum Solution and Degenerate Optimum Solution in Linear Programming;
对线性规划多重解与退化解关系的一点新认识
Doubly Degenerate Parabolic Equations with Nonlinear Inner Sources or Boundary Flux
具有非线性源或边界流的双重退化抛物型方程