In the second part,as a basis of further study,we prove the existence and uniqueness of semi-global C~2 solution to general second order quasilinear hyperbolic equations,based on the theory of the semi-global C~1 solution to the mixed initial-boundary value problem for first order quasilinear hyperbolic systems.
第二部分,作为下一步研究精确边界能控性的基础,在一阶拟线性双曲组混合初边值问题半整体C~1解理论的基础上,对一般二阶拟线性双曲型方程建立半整体C~2解的理论。
In the second part,as a basis of further study,we prove the existence and uniqueness of semiglobal C~2 solution to general second order quasilinear hyperbolic equations,based on the theory of the semi-global C~1 solution to the mixed initial-boundary value problem for first order quasilinear hyperbolic systems.
第二部分,作为下一步研究精确能观性的基础,在一阶拟线性双曲组混合初边值问题半整体C~1解理论的基础上,对一般的二阶拟线性双曲型方程建立半整体C~2解的理论。
Based on the theory of the semi-global C1 solution to the mixed initial-boundary value problem for first order quasilinear hyperbolic systems,the exact observability is established for general second order quasilinear hyperbolic equations with general nonlinear boundary conditions.
在一阶拟线性双曲组混合初边值问题半整体C1解理论的基础上,本文针对一般二阶拟线性双曲型方程的特征根在平衡态附近的不同分布情况,在具有一般边界条件的情况下,分别得到了相应的精确能观性及能观不等式。
The Solving Theorem of Second Order Linear Hyperbolic Equation;
二阶线性双曲型方程利用线性变换求解定理
Exact Observability for Second Order Quasilinear Hyperbolic Equations
二阶拟线性双曲型方程的精确能观性
Exact Boundary Controllability for Second Order Quasilinear Hyperbolic Equations
二阶拟线性双曲型方程的精确边界能控性
Blow up of solution to the nonlinear hyperbolic equation of higher order and nonlinear parabolic equations of higher order;
一类非线性高阶双曲型方程与非线性高阶抛物型方程解的爆破性质
OSCILLATION CRITERIA FOR NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATIONS WITH HIGHER ORDER LAPLACE OPERATOR
具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动判据
A Difference Scheme Solving First Order Linear Hyperbolic Partial Differential Equations
求解一阶线性双曲型偏微分方程组的一个差分格式
Riemann-Hilbert Boundary Value Problem in a Class of Overdetermined Hyperbolic Equations of Second Order
一类二阶超定双曲型复方程组的Riemann-Hilbert边值问题
A new second order nonconforming finite element approximation to hyperbolic equation
双曲型方程的一个新的二阶非协调有限元逼近
Streamline-Diffusion Method of An Unconventional Hermite-Type Rectangular Finite Element for First-order Hyperbolic Equations
一阶双曲方程非常规型矩形元的流线扩散法
Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type with Several Delays
非线性脉冲中立型双曲方程的振动性
High Accuracy Analysis of Anisotropic Adini Element for Second Order Hyperbolic Equation;
二阶双曲方程的各向异性Adini元的高精度分析
Initial Boundary Value Problems for a Class of Nonlinear Hyperbolic Equation;
一类非线性双曲型方程的初边值问题
A Class of Coupled Nonlinear System of Hyperbolic Equations
一类非线性耦合双曲型方程组的研究
Discontinuous Finite Volume Element Method for Second Order Hyperbolic Equations
二阶双曲方程的间断有限体积元方法
Solution of kind of second-order variable coefficient differential equation;
几类二阶非线性微分方程的可积类型
Philos Type Oscillatory Theorems for Second Order Nonlinear Differential Equations
二阶非线性微分方程振动的Philos型定理
The Solving Theorem of Second Order Linear Parabolic Equation Utilizing Linear Transformation;
二阶线性抛物型方程利用线性变换求解定理
Error Estimates of The Semi-discrete Finite ElementMethod For A Class of Linear Hyperbolic Equations;
线性双曲型方程半离散有限元方法的误差估计