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

☆☆☆☆☆
简体网页||繁体网页



点击这里下载

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

类似图书 点击查看全场最低价

---

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

评分☆☆☆☆☆

早就想入手，赶上促销，速度买。价格很低了

评分☆☆☆☆☆

第一次京东买书，以后还来

评分☆☆☆☆☆

好书应当分享。这本书对于偏微分的学习自然是十分恰当的。因此，值得购买。

评分☆☆☆☆☆

商品给力商品给力商品给力

评分☆☆☆☆☆

偏微分方程，买来学习，学习使人进步。

评分☆☆☆☆☆

还没看呢，都是塑料袋包装的。

评分☆☆☆☆☆

挺好的，下次有需要还是选择京东～～～

评分☆☆☆☆☆

买的还没看，英文的感觉好行，三本估计要看一年

评分☆☆☆☆☆

偏微分经典，收藏慢慢看。。

类似图书 点击查看全场最低价