degenerate solution 中文意思是什麼

degenerate solution 解釋
退化解
  • degenerate : vi 1 腐化，墮落，頹廢。2 衰敗；【生物學】退化 （to）；【生理】 變質。adj n 1 腐化的，墮落的，頹廢...
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. 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。
  2. We study in this paper the filtration problem in partially saturated layered porous media in one dimensional. that is the thid problem boundary value problem of on dimensional degenerate quasi - linear elliptic - parabolic equation with discontinuous coeffi - cients. the existence, uniquess of the solutions and some properties of the solution are proved

    本文主要討論一維有限雙層多孔介質中部分飽和的滲流問題，即具有間斷系數的一維擬線性橢圓-拋物退化方程的第三邊值問題。證明了該問題的解的存在性、唯一性及弱解的邊界性質。
  3. The integrands in the dispersion equation are not integrable in general, so we used the asymptotic expansion solution to analyze the behavior of the dispersion relation at the singularity and mapped the dispersion relation curves approximately the system composed of collisionless particles which obey maxwellian distribution or all kinds of degenerate distribution, even in their mixture system, their dispersion relation are analogous

    一般來說，色散方程中的被積函數都是難以求積的，本文是用函數逼近法分析色散方程在奇點處的行為，並大致劃出色散關系曲線。由無碰撞粒子組成的系統，不管初始分佈是maxwell分佈還是各種簡並分佈，甚至是這些分佈的混合體，色散關系都是相似的。
  4. The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data

    通過構造輔助邊值問題，建立了各種能量不等式，並利用這些先驗估計，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計，還得到h ~ 1弱解的唯一性。
  5. To expose the statistical properties of the degenerated spectrum, with the aid of the random matrix theory, a possible form of the nns distribution function of the degenerate spectrum was proposed by providing a solution in terms of the same - degeneracy case

    利用隨機矩陣理論，通過對一特殊情形的簡並譜展開研究，得到了簡並譜一種可能的最小相鄰間距nns分佈函數。
  6. The existence of solution for some degenerate elliptic equation with critical exponents

    群上具有臨界指數的次橢圓方程解的存在性
  7. Statement is executing. unfortunately, this isn t a perfect solution, however, since it can cause multiple event dispatch loops to build up on the stack - in the degenerate case causing a stack overflow exception

    不幸的是，由於它能夠引發建立在堆棧上的多重事件調度循環，乃至在糟糕的情況下引起堆棧溢出異常，而目前並沒有一種對此稱得上優秀的解決方案。
  8. Based on this fact we get the uniqueness of h1 weak solution by the principle that strong solution of degenerate equation is identical with its weak solution

    然後，利用所得的全局估計，以及banach - saks定理可以得到該類問題分別在每個區域上的h 『弱解存在性
  9. They stated the existence of weak solution in if space and some hilbert spaces for the general boundary value problem of linear degenerate elliptic equations, and made a certain further contribution to the regularity theory. during the past three decades, several progresses have been made in the research of second order degenerate elliptic equations

    第二章在周期區域上考慮一類二階半線性退化橢圓型方程邊值問題的適定性及解的正則性，使用橢圓正則化方法和壓縮映象原理來研究問題。
  10. This paper deals with the existence of local solution for degenerate parabolic systems with nonlocal source and blow - up solution in a finite time is given provided the initial date ( u0 ( x ), v0 ( x ) ) is sufficiently large

    本文討論具有非局部源退化半線性拋物型方程組的初邊值問題.證明了局部解的存在唯一性並且得到當初值充分大時解在有限時刻爆破
  11. The second chapter defines the concept of basic point 、 polar point 、 best polar point 、 stable polar point 、 degenerate polar point and non - degenerate polar point. it also points out that this algorithm theory is discussed under the degenerate complexion that is : ， ， then call is non - degenerate polar point. it also discussed the solution of the best polar point and put forward this quick algorithm theory and prove its convergence under all polar points are non - degenerate polar points

    第二章定義了基點、極點、最優極點、穩定極點、退化極點和非退化極點等概念，最後指明本演算法理論討論的基礎是基於非退化情況，即： ，其維數，則稱為非退化極點，本文就是要在模型中所有極點都是非退化極點的情況下討論最優極點的求解，並提出和證明了本文快速演算法理論和收斂性，同時得到一個有意義的結論：穩定極點就是最小一乘估計。
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