amann 中文意思是什麼
amann
解釋
阿曼-
Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote
首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。 -
L ) the existence of local solutions in the part of the existence of local solutions, we investigate the intial boundary value problems for the more general quasilinear system : we consider the existence of local solutions of the system ( 2 ) when it may be a cross - diffusion system and u g ( g is a open subset of rn ). in order to use the results of h. amann [ 1 ] on local existence for quasilinear systems ( 2 ), we find that the results of h. amann on the corresponding linear system were not proved completely. especially for the case of cross - diffusion systems ( 2 )
1 ）局部解存在性在局部解存在性部分，我們研究的為更一般的擬線性耦合方程組的初邊值問題：我們研究了在u g （ g是使散度型方程組（ 2 ）中的系數矩陣a （ x ， u ）的特徵值實部大於零的區域）時散度型方程組（ 2 ）解的局部解存在性。在我們應用h . amann的局部解存在性理論時，我們發現h . amann的關于散度型方程組（ 2 ）局部解存在性理論的證明並不完整。 -
First. for linear systems in more general divergent form stated in [ 1 ], we give a complete proof on the generation of an analytic semigroup for the linear system by verifying the general sufficient condition on the analytic semigroup ( (. a, b, ) is a - regular elliptic bvp ), which make up for the insufficiency in the existence of local solutions which was established by h. amann [ 2 ]. thus the h. amann ' s theory on local existence and global existence of ( 1 ) is valid for cross - diffusion system ( 1 )
所以我們首先利用h . amann [ 1 ]中給出的關于解析半群的充分條件（ （ a ， b ， ， ， ）是正則橢圓初邊值問題） 。詳細的證明了（ 2 ）對應的線性方程組生成解析半群，從而說明了h . amann的局部解存在性和整體解存在性理論在散度型方程組（ 2 ）中也是成立的，這在一定程度上彌補了h . amann [ 2 ]中局部解存在性理論證明的不完善。
分享友人