dirichlet problem 中文意思是什麼

dirichlet problem 解釋
狄利克雷問題
  • dirichlet : 邊界條件
  • problem : n. 1. 問題，課題；疑難問題；令人困惑的情況。2. 【數、物】習題；作圖題。3. （象棋的）布局問題。adj. 1. 成問題的；難處理的。2. 關于社會問題的。
  1. One of the main character of this paper is to present a new way of how to use a mountain pass theorem to prove the existence as to the dirichlet problem, without assuming conditions ( ar ), the other is that we have made great improvements as to the important condition of [ 6 ], in other words, we may delete the condition on which f ( x, t ) / t is nbndecreasing with respect to t 0, a. e. x

    這篇文章的一個主要特徵是提出一種新的方法運用山路引理證明了在沒有條件（ ar ）的情形下dirichlet問題正解的存在性，另一個是我們對文獻[ 6 ]中的重要條件做了巨大的改進，即我們可刪去f （ x ， t ） / t對a . e . x關于t在[ 0 ， + ）上單調遞增。
  2. In this dissertation, we firstly prove that any dirichlet problem is indeed equal to a voltages problem of networks. we give five solutions to dirichlet problem in two dimensions ; among these five solutions, we prove that the iteration solution and the solution of relaxations are exponential convergence, then we estimate their respective convergence rates ; secondly, we discuss random walks on general networks, prove that there is an one to one correspondence between networks and reversible ergodic markov chains ; thirdly, we give probabilistic interpretation of voltages for general networks : when a unit voltage is applied between a and b, making va = 1 and vb = 0, the voltage vx at any point x represents the probability that a walker starting from x will return to a before reaching b ; furthermore, we study the relationship between effective resistance and escape probability : starting at a, the probability that the walk reaches b before returning to a is the ratio of the effective conductance and the total conductance

    本文證明了任何邊值的dirichlet問題都可轉化為求解電路電壓的問題：給出了計算平面格點上dirichlet問題的5種方法：證明了迭代法和松馳法都是指數收斂的，並分別給出收斂速度的估計；討論了一般電路上的隨機徘徊，驗證了電路與可逆的遍歷markov鏈是一一對應的；給出了電路電壓的概率解釋：當把1伏電壓加於a ， b兩端，使得v _ a = 1 ， v _ b = 0時，則x點的電壓v _ x表示對應的markov鏈中，從x出發，到達b之前到達a的概率；進一步地，給出了逃離概率與有效電阻之間的關系：從a出發，在到達b之前到達a的概率為有效傳導率與通過a的總傳導率之比。
  3. Probabilistic methods for numerical solutions of the exterior dirichlet problem

    外問題數值解的概率方法
  4. Firstly, we investigate the dirichlet problem ' s comparison principle on a bounded subset for this fully nonlinear intergro - differential equation, at the same time we must assume the measure in the intergro - differential item is absolute continuous

    首先研究這類完全非線性積分微分方程在有界區域上dirichlet問題的比較原理，此時須假設積分項所涉及的測度是絕對連續的。
  5. Infinite solutions of dirichlet problem for p - laplacian - type equations

    問題的無窮多解存在性
  6. Have appeared on the existence of infinitely many solutions and on the multiplicity of positive solution of dirichlet problem, but only few results on the existence of infinitely many solutions and the multiplicity of positive solution of neumann problem. recently, the remarkable result about neumann problem is the work of zhang guiyi and shen yaotian on the existence of infinitely many solutions of a general critical quasilinear elliptic equation with a nonlinear critical boundary condition

    在擬線性橢圓方程的研究中，關于dirichlet問題多解和正解的多重性已經有了相當多的結果，但對neumann問題多解和正解的研究尚不多，近期的主要結果是張桂宜、沈堯天關于臨界擬線性橢圓方程及臨界增長的neumann問題的多解。
  7. The project involved a mathematical problem first developed in the nineteenth century by the french mathematician lejeune dirichlet

    該課題涉及一個由法國數學家狄利克雷在20世紀首次提出的數學難題。
  8. The project involved a mathematic problem, first developed in the 19 century, by the french mathematician moujor divichiley. （ lejeune dirichlet ） the women ( winning ) research shows solutions to the problem

    該項工程有關一個數學問題，這個數學問題是由法國數學家狄利克雷在19世紀最初開始研究的。
  9. Derivation of dirichlet and neumann problem in laplace equation with algebraic method

    極坐標下平面曲線的四步作圖法
  10. Furthermore, with the induction of precision order of a type - function u ( r ), the necessary and sufficient conditions of the dirichlet series, which keep unaltered the order and the type, are obtained. such a result naturally has a bearing on " rearrangement problem " of power series and abel summable series

    此外，當狄里克萊級數引入精確級后，得到了有限級狄里克萊經過重排后的精確級以及關于型函數u （ r ）的型保持不變的充要條件。
  11. On existence and uniqueness of solution to dirichlet problem of elliptic boussinesq equation

    問題解的存在性和唯一性
  12. Existence of positive solutions for asymptotically linear dirichlet problem

    問題正解的存在性
  13. Third, it can not solve the exterior dirichlet problem

    另外，有限元法不能解決dirichlet外問題。
  14. High order regularity of solutions to the dirichlet problem for a class of degenerate elliptic equations

    問題的解的高階正則性
  15. In chapter 6 the method is applied to the exterior dirichlet problem and its another advantage is given

    第六章將該方法應用到了dirichlet外問題，顯示了該方法的另一優越性。
  16. Chapter 5 establishes the probabilistic numerical method for the dirichlet problem relevant to brownian motion with drift

    第五章介紹與漂移布朗運動相聯系的dirichlet問題的概率數值方法。
  17. As whole, we mainly touch on some aspects as follow : 1. existence of positive solutions for asymptotically linear dirichlet problem

    歸納起來主要有以下兩個方面： 1 、漸近線性dirichlet問題正解的存在性。
  18. For the stochasic representation is still correct over unbounded domains, this method can also solve the exterior dirichlet problem

    另外，由於在無界區域上解的隨機表達式也是成立的，因而可以用來解決dirichlet外問題。
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