1) weak KAM solution
弱KAM解
2) weak KAM theory
弱KAM理论
1.
In this paper we use knowledge from weak KAM theory and combine with analysis,topology and calculus of variations to Study the relation which is between the Peierls barrier,Ma(?) critical action and viscosity solutions of the time periodic Hamilton-Jacobi equation.
本文利用弱KAM理论,结合分析、拓扑及变分等数学工具,研究Peierls障碍函数和Ma(?)临界作用函数与时间周期的哈密顿-雅克比方程的粘性解之间的关系。
2.
In this paper,by using variational analysis and weak KAM theory,we study the behavior of the energy function and investigate the property of the viscosity solutions of time-periodic Hamilton-Jacobi equations.
利用变分学和弱KAM理论中的有关知识,研究能量函数的行为,讨论了时间周期的哈密顿—雅克比方程的粘性解的有关性质,推广了Fathi和Siconolfi的结果。
3) KAM torus
KAM环
4) weak solution
弱解
1.
Regularity of weak solutions to quasilinear elliptic systems;
拟线性椭圆方程组弱解的正则性
2.
The regularity of weak solutions for the quasi-linear diffraction problems with linear growth coefficients;
具线性增长系数的拟线性挠射问题弱解的正则性
3.
Partial regularity for weak solutions of a class of quadric increasing triangular parabolic equation systems;
一类二次增长的三角形抛物方程组弱解的部分正则性
5) weak solutions
弱解
1.
The existence of weak solutions for a class of elliptic equation systems;
一类椭圆方程组的弱解存在性
2.
Existence and Stability of Weak Solutions of Stochastic Differential Equations;
随机微分方程弱解的稳定性和存在性
3.
Existence of weak solutions to 2-D Euler equations;
二维Euler方程的弱解存在性
6) KAM theory
KAM理论
1.
The forced vibration characteristic of a single Degree of freedom 1/4 hysteretic nonlinearity vehicle suspension system under multi-frequency excitation is studied by the period-energy relationship of direct two-dimensional Hamilton system and KAM theory.
结合顺行平面Hamilton系统周期-能量关系和KAM理论,研究滞后非线性单自由度1/4车辆悬架系统多频激励下的受扰振动问题,给出两种初值条件下系统受扰固有周期运动的理论解析,证明了系统存在安全的拟周期状态。
2.
In this paper,we prove the existence of plenty of quasi-periodic soltuions for the higher dimensional Laplace equations with constant potential m>2 and Fourier multiplier M_ξ△u+(m+M_ξ)u+u~3=0, subject to periodic boundary conditions via KAM theory.
本文利用KAM理论,证明了一类带有常位势m(m>2)以及Fourier乘子M_ξ的高维Laplace方程△u+(m+M_ξ)u+u~3=0,在周期边值条件下拟周期解的存在性。
3.
The classical KAM theory which is constructed by three famous mathematicians Kolmogorov.
本文主要研究无穷维KAM理论在偏微分方程中的应用。
补充资料：弱解
弱解
weak solution
弱解I叭限，kso加‘叨;e顽oe petue。。e] 微分方程 无。三艺a:(x)D“u=f(*) I匡l‘门在区域D的弱解是一局部可积函数u，它对在D中具有紧支集的所有光滑函数毋(比如，C田类函数)满足等式 丁·L‘，“二一丁f，己/. DD这里，(*)中的系数a。(%)假定是充分光滑的，而L’是L的形式的肠脚nge伴随算子: 五‘价一艺(一l)，·，D·(a。毋). l口}《m例如，广义导数f=D““可以定义为局部可积函数f，使得“是方程D‘“”f的一个弱解. 在考虑(*)的弱解时，产生下面的问题:在什么条件下它们是强解(见强解(strong solution))?例如，在椭圆型方程情形下，每一个弱解都是强解.
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参考词条