bounded domain 中文意思是什麼

bounded domain 解釋
有界域
  • bounded : adj. 1. 有界限的，有限制的。2. 【數學】有界的。n. -ness
  • domain : n 1 領土，版圖；領地。2 管區，勢力圈；（特定動物等的）生長圈；（學問、活動等的）領域，范圍；【物...
  1. The results show that the class of problems has at least one solution or positive solution provided the " maximal height " of nonlinear term is appropriate on a bounded set of its domain

    結論表明，只要非線性項在其定義域的某個有界集上的「最大高度」是適當的，那麼這類問題至少存在一個解或者正解。
  2. A new character for starlike mapping on bounded balanced pseudoconvex domain

    有界平衡擬凸域上星形映射的一個新特徵
  3. Bivariate multiwavelets bases on a bounded domain

    有限區域上的二維多小波基
  4. Asymptotic attractors of the nonlinear evolution equation in bounded domain

    一類非線性發展方程的漸近吸引子
  5. An integral formula for bounded domain with piecewise smooth boundary in cn

    空間中具有逐塊光滑邊界的有界域上光滑函數的積分表示
  6. Solvability for certain semilinear elliptic equations in the bounded domain with a hole

    有界洞形區域上一類半線性橢圓型方程的可解性
  7. In this paper, we consider mixed boundary problem of p - laplacian equations in a bounded domain of rn

    摘要研究空間中有界區域混合邊值問題的正解存在唯一性。
  8. It is well known that there exists an unique bergman kernel function for each bounded domain in cn

    眾所周知， c ~ n中的任一有界域都存在唯一的bergman核函數。
  9. The former three chapters considers the initial - boundary value problem for the nonlinear wave equation in a bounded domain fi c rn. chapter 2 investigates the problem with a, g and / like ( v2 ) = ( 1 + v2 ) - 1 / 2, g ( v ) = - | v | pv, p > 0 and f ( v ) = | v | mv, m > 0, respectively

    論文的主要內容分為四章，前三章主要研究定義在有界區域上的非線性波動方程的初邊值問題在第二章中（ v ）形式如（ 1 + v ~ 2 ） ~ （ - 1 / 2 ）
  10. In chapter 3, 1 consider the nonlinear parabolic equation : where a bounded domain with smooth boundary in ; v is outward normal vector on is a positive function satisfying some compatibility conditions focus my attention on the case of m > 1, to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution

    運用緊致性原理及moser迭代得到了解的整體存在性和解的熄滅性質。第三章討論了如下形式的非線性拋物方程：其中m ， ， 0 ， r ~ + ，為r ~ n （ n 1 ）中的有界域，具有適當光滑的邊界（ ? ） ； v是（
  11. Bounded homogeneous domain

    有界齊性域
  12. In the last part of this chapter, we will summarize the main results of existence, uniqueness and regularity for solution of such kind of problems. in chapter ii, we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft, which is homeomorphic to the cylindrical surface

    使用橢圓正則化方法分別在每個區域上討論dirichlet問題，即先構造輔助問題，並建立輔助問題的能量不等式，然後由緊性推理方法，利用輔助問題的解的某種收斂性來得到原問題的弱解存在性。
  13. For some non - symmetric homogeneous domains, we can also get the explicit formulas of their bergman kernel functions by hua method [ xu4 ] [ gi ]. we know the complete orthonormal system of the bounded reinhardt domain made up of monomials, and complex ellipsoid domain is the bounded reinhardt domain, so the explicit formulas of the bergman kernel functions are obtained by summing an infinite series in some cases ( called method of summing series )

    對於一些非對稱的齊性域，也可以用華羅庚方法得到它們的bergman核函數的顯表達式我們知道，有界reinhardt域的完備標準正交系由單項式組成，而復橢球域是包含原點且以原點為中心的有界reinhardt域，於是可以通過無窮級數求和函數的方法，計算其bergman核函數的顯表達式，這種求bergman核函數的顯表達式的方法稱為級數法。
  14. The explicit formulas for the second type of hua domain and two types of generalized exceptional hua domain are obtained in the first chapter of this article : whether a domain is complete with respect to bergman distance is studied in the second chapter of this article, and we prove super - cartan domains which are special types of hua domain are complete with respect to bergman distances ; the integral representation for the first type of super cartan domain which is based on its characteristic boundary is got in the third chapter of this article : a sufficent and necessary condition that a bounded domain in cn is biholomorphic to the classical domain is given in the fourth chapter of this article

    第一部分給出第二類華羅庚域和兩類廣義例外華羅庚域的bergman核函數的顯表達式；第二部分研究bergman度量的完備問題，證明了超cartan域（一種特殊的華羅庚域）關于bergman度量完備；第三部分給出了第一類超cartan域的建立在其特徵邊界上的積分表示公式；第四部分則給出了c ~ n中的有界域全純等價于典型域的充要條件。
  15. Then i consider a correlative problem : where m, > 0, s is a bounded domain with smooth boundary in ; v is outward normal vector on ; f ( s ) is continuous function and satisfies some increasing conditions ; u0 ( x ) is a positive function satisfying some compatibility conditions, to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution, extend the result of song and zheng

    ）上的單位外法向； u _ 0 （ x ）是正的函數且滿足一定的相容性條件：討論m 1的情況時，在何種條件下使得問題的正解整體存在或是在有限時刻爆破。主要採用上下解的方法來得到結論。隨后考慮相關問題：其中m ， 0 ，為r ~ n （ n 1 ）中的有界域，具有適當光滑的邊界（
  16. ( 2 ) for linear systems with time - varying delays both in state and control, and subject to norm - bounded parameter uncertainties, the problems of robust stabilization and robust h control are studied and delay independent results are derived by constructing proper lyapunov function to deal with the time - delay, also by using riccati equations method and inequalities transformations to deal with the uncertainties. according to the transform function of the system, frequency domain method and time domain method are combined together to analyze the robust h control problem of the uncertain time - delay system

    （ 2 ）研究了一類狀態和控制同時具有時變時滯以及參數時變有界不確定性系統的時滯無關的魯棒鎮定及h控制問題，採用把時滯因素和不確定因素分開處理的思路，通過構造適當形式的lyapunov函數來處理時滯，採用不等式變換及riccati方程方法來處理不確定性，採用頻域與時域相結合的方法根據系統的傳遞函數分析時滯不確定系統的魯棒h控制問題。
  17. Then we can reduce the original problem to a boundary value problem defined on the bounded computational domain

    這樣我們可以將原無界區域上的定解問題約化為定義在有界計算區域上的邊值問題。
  18. Namely for the given problem we introduce some suitable artificial boundaries to divide the unbounded physical domain into the bounded computational domain and unbounded part and set up high order artificial boundary conditions on the given artificial boundaries

    也就是，對于給定的問題通過引入適當的人工邊界，將物理區域分為有界計算區域和無界部分並且在該人工邊界上建立高精度的人工邊界條件。
  19. In this paper, we study classical solution to the first initial - boundary value problem of parabolic hessian equation : where is a bounded, uniformly ( k - l ) - convex domain in rn with smooth boundary

    本文研究如下的拋物型hessian方程的第一初邊值問題的古典解：其中是r ~ n中有界一致（ k - 1 ）凸的光滑區域。
  20. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ） dinger方程，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr （ ? ） dinger方程到非線性schr （ ? ） dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，並且結合從低維向高維推廣。
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