caccioppoli 中文意思是什麼

caccioppoli 解釋
卡喬波利
  1. In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets, the second is to characterize the discontinuous set su and jump set ju of u bvh ( ), the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s, while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part, jump part and cantor part, respectively ) just like the derivative of a bv function in the setting of euclidean space

    第二章有四個目標:一是討論h - caccioppoli集的若干幾何性質,二是刻畫h -有界變差函數的近似不連續點集和跳躍點集的特徵,三是研究u bv _ h ( )的逐點行為,我們集中討論u在pansu意義下的近似可微性,最後也是最重要的目標我們證明對u bv _ h ( ) , d _ hu作為radon測度能夠分解成絕對連續部分、跳躍部分和cantor部分之和。
  2. In this paper we first prove an ar (, ) - weighted caccioppoli - type inequality for a - harmonic tensors

    在這篇文章中,我們首先證明了a -調和張量的a _ r ( , )加權caccioppoli型不等式。
  3. In this paper, we study the a - harmonic equation we first prove a local ar - weighted caccioppoli - type inequality for weak solutions to a - harmonic equation. then, by using the methods of hodge decomposition and the weak reverse holder inequality, we prove a regularity result for very weak solutions to a - harmonic equation

    在這篇文章中,我們討論形如diva ( x , ? u ( x ) ) = 0的a -調和方程,證明了其弱解滿足的局部a _ ~ -加權caccioppoli型不等式,並以hodge分解和弱逆hlder不等式為工具,得到了其很弱解的正則性結果。
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