weak derivatives 中文意思是什麼

weak derivatives 解釋
弱導數
  • weak : adj 1 柔弱的;虛弱的,有病的。2 無力的,軟弱的;(根據等)不充分的,薄弱的。3 不中用的;愚鈍的;...
  • derivatives : 導數
  1. Due to the poor regularity of solutions at large time. ( 0. 2. 1 ) can not defined in classical way. i, e., the defi nition of the derivatives at any points has no sense. so it may be rather difficult in the research of classical way and must be defined in weak sense. in order to guarantee the uniqueness of weak solutions, a condition ( entropy inequality ) must be need to pick out " good " solution ( entropy solutions )

    由於大時間范圍內守恆律( 0 . 1 . 1 )的解表現為很差的正則性,它不能在古典意義下定義,即在每一點下的導數無意義,使得古典辦法研究遇到很大困難,它只能在弱意義下定義弱解,但往往這種弱解不唯一,需要某條件限制確保解的唯一性,在數學上稱為熵條件,滿足該條件的弱解稱為熵解。
  2. In chapter 3 we first show some important distributional characteristics of weak derivatives of bvh and sbvh functions as radon measures and we also give some sufficient and necessary conditions that a bvh function becomes a sbvh function

    第三章我們先討論heisenberg群h ~ n上有界變差函數和特殊有界變差函數的弱導數作為radon測度的若干重要分佈特徵。
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