偏微分方程（第2卷）

內(nèi)容概要

《偏微分方程(第2卷)》主要內(nèi)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.Garding‘s inequality；

書籍目錄

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   References9 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  References10 Dirac Operators and Index Theory11 Brownaian Motion and Potential Theory12 The e-Neumann Problem13 Connections and CurvatureIndex

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