点击选择搜索分类
首页 - 小说- 正文
☆☆☆☆☆
||
[美] 福兰德 著
出版社: 世界图书出版公司 ISBN:9787510029714 版次:2 商品编码:10562629 包装:平装 开本:24开 出版时间:2011-01-01 用纸:胶版纸 页数:324
preliminaries
a. notations and definitions
b. results from advanced calculus
c. convolutions
d. the fourier transform
e. distributions
f. compact operators
chapter 1
local existence theory
a. basic concepts
b. real first order equations
c. the general cauchy problem
d. the cauchy-kowalevski theorem
e. local solvability: the lewy example
f. constant-coeffcient operators: fundamental solutions
chapter 2
the laplace operator
a. symmetry properties of the laplacian
b. basic properties of harmonic functions
c. the fundamental solution
d. the dirichlet and neumann problems
e. the greens function
f. dirichlets principle
g. the dirichlet problem in a half-space
h. the dirichlet problem in a ball
i. more about harmonic functions
chapter 3
layer potentials
a. the setup
b. integral operators
c. double layer potentials
d. single layer potentials
e. solution of the problems
f. further remarks
chapter 4
the heat operator
a. the gaussian kernel
b. functions of the laplacian
c. the heat equation in bounded domains
chapter 5
the wave operator
a. the cauchy problem
b. solution of the cauchy problem
c. the inhomogeneous equation
d. fourier analysis of the wave operator
e. the wave equation in bounded domains
f. the radon transform
chapter 6
the l2 theory of derivatives
a. sobolev spaces on r
b. further results on sobolev spaces
c. local regularity of elliptic operators
d. constant-coefficient hypoelliptic operators
e. sobolev spaces on bounded domains
chapter 7
elliptic boundary value problems
a. strong ellipticity
b. on integration by parts
c. dirichlet forms and boundary conditions
d. the coercive estimate
e. existence, uniqueness, and eigenvalues
f. regularity at the boundary: the second order case
g. further results and techniques
h. epilogue: the return of the greens function
chapter 8
pseudodifferential operators
a. basic definitions and properties
b. kernels of pseudodifferential operators
c. asymptotic expansions of symbols
d. amplitudes, adjoints, and products
e. sobolev estimates
f. elliptic operators
g. introduction to microlocal analysis
h. change of coordinates
bibliography
index of symbols
index
偏微分方程导论(第2版) 电子书 下载 mobi epub pdf txt
偏微分方程导论(第2版)-so88
偏微分方程导论(第2版) pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 福兰德 著
出版社: 世界图书出版公司 ISBN:9787510029714 版次:2 商品编码:10562629 包装:平装 开本:24开 出版时间:2011-01-01 用纸:胶版纸 页数:324
内容简介
《偏微分方程导论(第2版)》是一部数学专业研究生的偏微分方程教程。其旨在让读者更好地了解偏微分方程的经典基础结果,为读者更深层次学习这方面的专著和教程提供现代理论观点。这是第二版,较第一版增加了不少练习,专门增加了一章讲述拟微分算子,增加了不少材料,内容更加丰富。书中的前五章讲述经典理论,如一阶方程,局部存在性定理,数学物理基础偏微分方程,适时地运用现代物理技巧解释长期研究的话题。最后三章专注于现代理论,索伯列夫空间,椭?边界值问题和拟微分算子。目录
chapter 0preliminaries
a. notations and definitions
b. results from advanced calculus
c. convolutions
d. the fourier transform
e. distributions
f. compact operators
chapter 1
local existence theory
a. basic concepts
b. real first order equations
c. the general cauchy problem
d. the cauchy-kowalevski theorem
e. local solvability: the lewy example
f. constant-coeffcient operators: fundamental solutions
chapter 2
the laplace operator
a. symmetry properties of the laplacian
b. basic properties of harmonic functions
c. the fundamental solution
d. the dirichlet and neumann problems
e. the greens function
f. dirichlets principle
g. the dirichlet problem in a half-space
h. the dirichlet problem in a ball
i. more about harmonic functions
chapter 3
layer potentials
a. the setup
b. integral operators
c. double layer potentials
d. single layer potentials
e. solution of the problems
f. further remarks
chapter 4
the heat operator
a. the gaussian kernel
b. functions of the laplacian
c. the heat equation in bounded domains
chapter 5
the wave operator
a. the cauchy problem
b. solution of the cauchy problem
c. the inhomogeneous equation
d. fourier analysis of the wave operator
e. the wave equation in bounded domains
f. the radon transform
chapter 6
the l2 theory of derivatives
a. sobolev spaces on r
b. further results on sobolev spaces
c. local regularity of elliptic operators
d. constant-coefficient hypoelliptic operators
e. sobolev spaces on bounded domains
chapter 7
elliptic boundary value problems
a. strong ellipticity
b. on integration by parts
c. dirichlet forms and boundary conditions
d. the coercive estimate
e. existence, uniqueness, and eigenvalues
f. regularity at the boundary: the second order case
g. further results and techniques
h. epilogue: the return of the greens function
chapter 8
pseudodifferential operators
a. basic definitions and properties
b. kernels of pseudodifferential operators
c. asymptotic expansions of symbols
d. amplitudes, adjoints, and products
e. sobolev estimates
f. elliptic operators
g. introduction to microlocal analysis
h. change of coordinates
bibliography
index of symbols
index
前言/序言
偏微分方程导论(第2版) 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 上下五千年难解之谜3
- 知日·樱花入魂
- 正版 经典游戏丛书:让孩子爱上科学的88X3经典游戏
- 走遍法国(1上)(学生用书)(配MP3光盘)(18新)
- 《大设计》(霍金全新著作,阐释宇宙问题) 9787535765444 湖南科技出版社
- 【支持正版】不一样的卡梅拉全套45册 第一二三四季缉全集 一二三年级课外书儿童图画绘本故事
- 走近科学:千姿百媚
- 探索科学百科丛书全8册 11-14岁青少年少儿百科全书 十万个为什么 恐龙大百科 儿童科普
- BF-2017-全国硕士研究生招生考试思想政治理论考试分析-(2017年版)-高教版-教育
- 全3册有声原版 用美国幼儿园课本学英语3-6岁培生儿童英语 少儿英语入门学前班启蒙双语教材
- 双螺旋:插图注释本 9787213076107
- 童立方·水母昆汀系列:海鳝好头疼+海底音乐会+珊瑚马戏团(套装全3册) [3-6岁]
- (青少年“海洋梦”系列丛书)蓝色“妖姬”——海洋植物 “海洋梦”系列丛书编委会
- 看里面认知版第1辑:身边都有啥? [0-3岁]
- 理性派数学写真集:无需语言的证明(1) 畅销书籍 正版数学写真集(XX季)无需语言的证明