偏微分方程（第2卷）
出版时间:
1999-06
版次:
1
ISBN:
9787506242530
定价:
69.00
装帧:
平装
开本:
其他
纸张:
胶版纸
页数:
528页
11人买过
-
《偏微分方程(第2卷)》主要内容有：7.Pseudodifferential Operators；Introduction；1.The Fourier integral representation and symbol classes；2.Schwartz kernels of pseudodifferential operators；3.Adjoints and products；4.Elliptic operators and parametrices；5.LC-estimates；6.Gardin Contents of Volumes I and HI
Introduction
7 Pseudodifferential Operators
Introduction
1 The Fourier integral representation and symbol classes
2 Schwartz kernels of pseudodifferential operators
3 Adjoints and products
4 Elliptic operators and parametrices
5 LC-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 Weyl calculus
References
8 Spectral Theory
Introducion
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 Introducion
2 The scattering problem
3 Eigenfuncion expansions
4 Connections with the wave equation
5 Wave operators
6 Translation representations and the Lax-Phillips semigroupr Z(t)
7 Integral equation and scattering poles
8 Trace formulas; the acattering phase
9 Scattering by a sphere
10 Inverse Problems I
11 Inverse Problems II
12 Scattering by rough obstacles
A Lidskii's trace theorem
References
10 Dirac Operators and Index Theory
11 Brownaian Motion and Potential Theory
12 The e-Neumann Problem
13 Connections and Curvature
Index
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内容简介:
《偏微分方程(第2卷)》主要内容有：7.Pseudodifferential Operators；Introduction；1.The Fourier integral representation and symbol classes；2.Schwartz kernels of pseudodifferential operators；3.Adjoints and products；4.Elliptic operators and parametrices；5.LC-estimates；6.Gardin
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目录:
Contents of Volumes I and HI
Introduction
7 Pseudodifferential Operators
Introduction
1 The Fourier integral representation and symbol classes
2 Schwartz kernels of pseudodifferential operators
3 Adjoints and products
4 Elliptic operators and parametrices
5 LC-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 Weyl calculus
References
8 Spectral Theory
Introducion
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 Introducion
2 The scattering problem
3 Eigenfuncion expansions
4 Connections with the wave equation
5 Wave operators
6 Translation representations and the Lax-Phillips semigroupr Z(t)
7 Integral equation and scattering poles
8 Trace formulas; the acattering phase
9 Scattering by a sphere
10 Inverse Problems I
11 Inverse Problems II
12 Scattering by rough obstacles
A Lidskii's trace theorem
References
10 Dirac Operators and Index Theory
11 Brownaian Motion and Potential Theory
12 The e-Neumann Problem
13 Connections and Curvature
Index
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