偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf  mobi txt 电子书 下载

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024


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发表于2024-11-25

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出版社: 世界图书出版公司
ISBN:9787510068140
版次:2
商品编码:11352191
包装:平装
外文名称:Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edition)
开本:24开
出版时间:2014-01-01
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偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024



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书籍描述

内容简介

  This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory graduate mathematics courses in American universities: elementary real and complex analysis, differential geometry, and measure theory.

内页插图

目录

Contents of Volumes I and III
Preface
7 Pseudo differential Operators
1 The Fourier integral representation and symbol classes
2 Schwartz kernels of pseudo differential operators
3 Adjoints and products
4 Elliptic operators and parametrices
5 L2 estimates
6 Garding's inequality
7 Hyperbolic evolution equations.
8 Egorov's theorem
9 Microlocal regularity
10 Operators on manifolds
11 The method of layer potentials
12 Parametrix for regular elliptic boundary problems
13 Parametrix for the heat equation
14 The Wey l calculus
15 Operators of harmonic oscillator type
Reference

8 Spectral Theory
1 The spectral theorem
2 Self-adjoint differential operators
3 Heat asymptotics and eigenvalue asymptotics
4 The Laplace operator on Sn
5 The Laplace operator on hyperbolic space
6 The harmonic oscillator
7 The quantum Coulomb problem
8 The Laplace operator on cones
References

9 Scattering by Obstacles
1 The scattering problem
2 Eigenfunction expansions
3 The scattering operator
4 Connections with the wave equatio
5 Wave operators
6 Translation representations and the Lax-Phillips semigroup Z( t)
7 Integral equations and scattering poles
8 Trace formulas; the scattering phase
9 Scattering by a sphere
10 Inverse problems l
11 Inverse problems II
12 Scattering by rough obstacles
A Lidskii's trace theorem
References

10 Dirac Operators and Index Theory
1 Operators of Dirac type
2 Clifford algebras
3 Spinors
4 Weitzenbock formulas
5 Index of Dirac operators
6 Proof of the local index formula
7 The Chern-Gauss-Bonnet theorem
8 Spinc manifolds
9 The Riemann-Roch theorem
10 Direct attack in 2-D
11 Index of operators of harmonic oscillator type
References

11 Brownian Motion and Potential Theory
1 Brownian motion and Wiener measure
2 The Feynman-Kac formula
3 The Dirichlet problem and diffusion on domains with boundary
4 Martingales, stopping times, and the strong Markov property
5 First exit time and the Poisson integral
6 Newtonian capacity
7 Stochastic integrals
8 Stochastic integrals, II
9 Stochastic differential equations
10 Application to equations of diffusio
A The Trotter product formula
References
……

前言/序言



偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit 下载 epub mobi pdf txt 电子书 2024

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit pdf 下载 mobi 下载 pub 下载 txt 电子书 下载 2024

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit mobi pdf epub txt 电子书 下载 2024

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载
想要找书就要到 静思书屋
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

读者评价

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希望能有更多更好的外文书籍影印到国内,这样方便了我们大家

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偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024

类似图书 点击查看全场最低价

偏微分方程(第2卷)(第2版) [Partial Differential Equations II: Qualitative Studies of Linear Equations(2nd Edit epub pdf mobi txt 电子书 下载 2024


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