登录
注册
书目下载
联系我们
移动端
扫码关注-登录移动端
帮助中心
高等教育出版社产品信息检索系统
图书产品
数字化产品
期刊产品
会议信息
电子书
线上书展
顶部
首页
图书产品
Lectures on Differential Equations and Differential Geometry 微分方程和微分几何 (英文版)
收藏
Lectures on Differential Equations and Differential Geometry 微分方程和微分几何 (英文版)
样章
作者:
Louis Nirenberg (路易斯·尼伦伯格 )
定价:
89.00元
ISBN:
978-7-04-050302-9
版面字数:
300.000千字
开本:
16开
全书页数:
暂无
装帧形式:
精装
重点项目:
暂无
出版时间:
2018-09-25
物料号:
50302-00
读者对象:
学术著作
一级分类:
自然科学
二级分类:
数学与统计
三级分类:
偏微分方程
购买:
样章阅读
图书详情
|
图书目录
暂无
Front Matter
Part I Existence Theorems in Partial Differential Equations
1 Preliminaries.
1.1 Introduction.
1.2 TheMaximumPrinciple
1.3 Consequences of theMaximumPrinciple
2 The Potential Equation
2.1 Fundamental Solution
2.2 The Poisson Integral Formula
2.3 TheMean Value Property of Potential Functions
2.4 Estimates of Derivatives of Harmonic Functions and Analyticity
2.5 The Theorems and Inequality ofHarnack
2.6 Theoremon Removable Singularities
3 The PerronMethod for Solving the Dirichlet Problem
3.1 The PerronMethod
3.2 The PerronMethod forMore General Elliptic Equations
4 SchauderEstimates.
4.1 Poisson’s Equation
4.2 A Preliminary Estimate
4.3 Statement of Schauder’s Estimates
4.4 Some Applications of the Interior Estimates
4.5 The BoundaryValue Problem
4.6 Strong Barrier Functions, and the Boundary Value Problem
5 Derivation of the Schauder Estimates
5.1 A Preliminary Estimate
5.2 A Further Investigation of the Poisson Equation
5.3 Completion of the Interior Estimates
Part II Seminar on Differential Geometry in the Large
1 Complete Surfaces
2 The Formof Complete Surfaces of Positive Gauss Curvature in Three-dimensional Space
2.1 Hadamard’s Principle
2.2 Completeness of a Surface
2.3 Examples Showing that the Properties V , V _ and E are Independent
2.4 Main Theorem.
2.5 Consequence
2.6 Analogous Theorems for Plane Curves
2.7 Proof of Theorem2.1
3 On Surfaces with Constant Negative Gauss Curvature
3.1 Hilbert’s TheoremonHyperbolic Surfaces
3.2 Asymptotic Coordinates in the Small
3.3 Considerations in the Large.
3.4 Bounds on the Extended Angle Function.
4 Isometric Deformations in the Small
5 Rigidity of Closed Convex Surfaces
6 Rigid Open Convex Surfaces
7 Rigidity of Sphere
8 Uniqueness of Closed Convex Surfaces with Prescribed Line Element
9 A Theoremof Christoffel on Closed Surfaces
10 Minkowski’s Problem
11 Existence of a Closed Convex Surface Solving Minkowski’s Problem
About the author
相关图书
同伦分析方法与非线性微分方程(海外版)
廖世俊
¥0.00
收藏
A Practical Course in Differential Equations and Mathematical Modelling(英文版)
Nail H. Ibragimov
¥0.00
收藏
微分方程群性质理论讲义 (海外版)
L.V. Ovsyannikov, N.H. Ibragimov, E.D. Avdonina
¥0.00
收藏
Lectures on the Analysis of Nonlinear Pa
林芳华 王雪平 张平
¥58.00
收藏
Trends in Partial Differential Equations(偏微分方程进展)
边保军 李胜宏 汪徐家
¥88.00
收藏
Approximate and Renormgroup Symmetries 逼近与重整化群对称
N.H. Ibragimov,V. F. Kovalev
¥39.00
收藏
Partial Differential Equations and Solitary Waves Theory 偏微分方程与孤波理论
Abdul-Majid Wazwaz
¥96.00
收藏
Approximate and Renormgroup Symmetries
N.H. Ibragimov,V. F. Kovalev
¥39.00
收藏
A Practical Course in Differential Equations and Mathematical Modelling(英文版)
Nail H. Ibragimov
¥68.00
收藏
同伦分析方法与非线性微分方程(英文版)
廖世俊
¥98.00
收藏
物理学与偏微分方程(上册)(英文版)
李大潜、秦铁虎 著,李亚纯 译
¥69.00
收藏
Lectures on the Analysis of Nonlinear Partial Differential Equations Vol. 3
林芳华 张平
¥89.00
收藏
微分方程群性质理论讲义 (Lectures on the Theory of Group Properties of Differential Equation
L.V. Ovsyannikov, N.H. Ibragimov, E.D. Avdonina
¥49.00
收藏
Lectures on the Analysis of Nonlinear Partial Differential Equations Vol. 4
Jean-Yves Chemin 林芳华 张平
¥128.00
收藏
Lectures on the Analysis of Nonlinear Partial Differential Equations Vol. 5
Jean-Yves Chemin, Fanghua Lin, Ping Zhang
¥128.00
收藏
选择收货地址
收货人
地址
联系方式
使用新地址
使用新地址
所在地区
请选择
详细地址
收货人
联系电话
设为默认
设为默认收货地址