-
>
宇宙、量子和人类心灵
-
>
考研数学专题练1200题
-
>
希格斯:“上帝粒子”的发明与发现
-
>
神农架叠层石:10多亿年前远古海洋微生物建造的大堡礁
-
>
二十四史天文志校注(上中下)
-
>
声音简史
-
>
浪漫地理学:追寻崇高景观
非线性分析方法 版权信息
- ISBN:9787510075933
- 条形码:9787510075933 ; 978-7-5100-7593-3
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 所属分类:>>
非线性分析方法 本书特色
张恭庆编著的《非线性分析方法》内容介绍: The book is the result of many years of revision of the author's lecture notes. Some of the more involved sections were originally used in seminars as introductory parts of some new subjects. However, due to their importance,the materials have been reorganized and supplemented, so that they may be more valuable to the readers.
非线性分析方法 内容简介
张恭庆编著的《非线性分析方法》内容介绍: the book is the result of many years of revision of the author's lecture notes. some of the more involved sections were originally used in seminars as introductory parts of some new subjects. however, due to their importance,the materials have been reorganized and supplemented, so that they may be more valuable to the readers.
非线性分析方法 目录
1.1 differential calculus in banach spaces
1.1.1 frechet derivatives and gateaux derivatives
1.1.2 nemytscki operator
1.1.3 high-order derivatives
1.2 implicit function theorem and continuity method
1.2.1 inverse function theorem
1.2.2 applications
1.2.3 continuity method
1.3 lyapunov-schmidt reduction and bifurcation
1.3.1 bifurcation
1.3.2 lyapunov-schmidt reduction
1.3.3 a perturbation problem
1.3.4 gluing
1.3.5 transversality
1.4 hard implicit function theorem
1.4.1 the small divisor problem
1.4.2 nash-moser iteration
2 fixed-point theorems
2.1 order method
2.2 convex function and its subdifferentials
2.2.1 convex functions
2.2.2 subdifferentials
2.3 convexity and compactness
2.4 nonexpansive maps
2.5 monotone mappings
2.6 maximal monotone mapping
3 degree theory and applications
3.1 the notion of topological degree
3.2 fundamental properties and calculations of brouwer degrees
3.3 applications of brouwer degree
3.3.1 brouwer fixed-point theorem
3.3.2 the borsuk-ulam theorem and its consequences
3.3.3 degrees for s1 equivariant mappings
3.3.4 intersection
3.4 leray-schauder degrees
3.5 the global bifurcation
3.6 applications
3.6.1 degree theory on closed convex sets
3.6.2 positive solutions and the scaling method
3.6.3 krein-rutman theory for positive linear operators
3.6.4 multiple solutions
3.6.5 a free boundary problem
3.6.6 bridging
3.7 extensions
3.7.1 set-valued mappings
3.7.2 strict set contraction mappings and condensing mappings
3.7.3 fredholm mappings
4 minimization methods
4.1 variational principles
4.1.1 constraint problems
4.1.2 euler-lagrange equation
4.1.3 dual variational principle
4.2 direct method
4.2.1 fundamental principle
4.2.2 examples
4.2.3 the prescribing gaussian curvature problem and the schwarz symmetric rearrangement
4.3 quasi-convexity
4.3.1 weak continuity and quasi-convexity
4.3.2 morrey theorem
4.3.3 nonlinear elasticity
4.4 relaxation and young measure
4.4.1 relaxations
4.4.2 young measure
4.5 other function spaces
4.5.1 bv space
4.5.2 hardy space and bmo space
4.5.3 compensation compactness
4.5.4 applications to the calculus of variations
4.6 free discontinuous problems
4.6.1 f-convergence
4.6.2 a phase transition problem
4.6.3 segmentation and mumford-shah problem
4.7 concentration compactness
4.7.1 concentration function
4.7.2 the critical sobolev exponent and the best constants
4.8 minimax methods
4.8.1 ekeland variational principle
4.8.2 minimax principle
4.8.3 applications
5 topological and variational methods
5.1 morse theory
5.1.1 introduction
5.1.2 deformation theorem
5.1.3 critical groups
5.1.4 global theory
5.1.5 applications
5.2 minimax principles (revisited)
5.2.1 a minimax principle
5.2.2 category and ljusternik-schnirelmann multiplicity theorem
5.2.3 cap product
5.2.4 index theorem
5.2.5 applications
5.3 periodic orbits for hamiltonian system and weinstein conjecture
5.3.1 hamiltonian operator
5.3.2 periodic solutions
5.3.3 weinstein conjecture
5.4 prescribing gaussian curvature problem on s2
5.4.1 the conformal group and the best constant
5.4.2 the palais-smale sequence
5.4.3 morse theory for the prescribing gaussian curvature equation on s2
5.5 conley index theory
5.5.1 isolated invariant set
5.5.2 index pair and conley index
5.5.3 morse decomposition on compact invariant sets and its extension
notes
references
非线性分析方法 作者简介
作者张恭庆是国际知名学者,在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果,适用于科研工作者、高校教师和研究生。
- >
推拿
推拿
¥12.2¥32.0 - >
烟与镜
烟与镜
¥15.8¥48.0 - >
龙榆生:词曲概论/大家小书
龙榆生:词曲概论/大家小书
¥15.9¥24.0 - >
二体千字文
二体千字文
¥29.4¥40.0 - >
李白与唐代文化
李白与唐代文化
¥9.5¥29.8 - >
有舍有得是人生
有舍有得是人生
¥27.8¥45.0 - >
自卑与超越
自卑与超越
¥29.5¥39.8 - >
中国人在乌苏里边疆区:历史与人类学概述
中国人在乌苏里边疆区:历史与人类学概述
¥43.2¥48.0
-
无理数引论
¥23¥58 -
高等代数-第五版
¥18.5¥28.2 -
4.23文创礼盒A款--“作家言我精神状态”
¥42.3¥206 -
4.23文创礼盒B款--“作家言我精神状态”
¥42.3¥206 -
一句顶一万句 (印签版)
¥40.4¥68 -
百年书评史散论
¥14.9¥38