《線性偏微分運算元分析·第4卷》是2005年世界圖書出版公司出版的著作，作者是L.Hormander。
基本介紹
- 書名：《線性偏微分運算元分析·第4卷》
- 作者：L.Hormander
- 出版社：世界圖書出版公司
- 出版時間：2005-06-01
內容簡介,目錄,
內容簡介
本書共有4卷，作者是世界公認的分析匙挨樂學大師。這套4卷集的經典淋連謎名著以廣義函式論為框架，論述了與偏微分方程理論有關的經典分析和現代分析的核心內容。霸和殃淋第4卷內容包括：拉格朗日分布和傅立愉艱笑葉積分運算元、主型的偽微分運算元、次橢圓運算元、柯西問題的惟一性、譜漸近展開和長範圍散射理論等。
目錄
Introduction
Chapter XXV. Lagrangian Distributions and Fourier
Integral
Operators
Summary
25.1. Lagrangian Distributions
25.2. The Calculus of Fourier Integral Operators
25.3. Special Cases of the Calculus， and L2 Continuity
25.4. Distributions Associated with Positive Lagrangian Ideals
25.5. Fourier Integral Operators with Complex Phase
Notes
Chapter XXVI. Pseudo-Differential Operators of Principal Type
習乎籃Summary
26.1. Operators with Real Principal Symbols
26.2. The Complex Involutive Case
多殼 26.3. The Symplectic Case
26.4. Solvability and Condition (ψ)
26.5. Geometrical Aspects of Condition (P)
26.6. The Singularities in N11
26.7. Degenerate Cauchy-Riemann Operators
26.8. The Nirenberg-Treves Estimate
26.9.The Nrenberg-Treves Estimate
26.10.The Singularites on One Dimensional Bicharacterstics
26.11.A Semi-Global Existence Theorem
Chapter XXVII.Subelliptic Operators
Summary
27.1.Defintions and Main Results
27.2.The Taylor Expansion of the Symbol
27.3.Subelliptic Operators Satsfying(P)
27.4.Local Properties of the Symbol
Chapter XXVIIII.Uniqueess for the Cauchy problem
Chapter XXIX.Spectral Asymptotics
芝催定戲 Chapter XXX.Long Range Scattering Theory
Bibliography
Index
Index of Notation
Chapter XXV. Lagrangian Distributions and Fourier
Integral
Operators
Summary
25.1. Lagrangian Distributions
25.2. The Calculus of Fourier Integral Operators
25.3. Special Cases of the Calculus， and L2 Continuity
25.4. Distributions Associated with Positive Lagrangian Ideals
25.5. Fourier Integral Operators with Complex Phase
Notes
Chapter XXVI. Pseudo-Differential Operators of Principal Type
習乎籃Summary
26.1. Operators with Real Principal Symbols
26.2. The Complex Involutive Case
多殼 26.3. The Symplectic Case
26.4. Solvability and Condition (ψ)
26.5. Geometrical Aspects of Condition (P)
26.6. The Singularities in N11
26.7. Degenerate Cauchy-Riemann Operators
26.8. The Nirenberg-Treves Estimate
26.9.The Nrenberg-Treves Estimate
26.10.The Singularites on One Dimensional Bicharacterstics
26.11.A Semi-Global Existence Theorem
Chapter XXVII.Subelliptic Operators
Summary
27.1.Defintions and Main Results
27.2.The Taylor Expansion of the Symbol
27.3.Subelliptic Operators Satsfying(P)
27.4.Local Properties of the Symbol
Chapter XXVIIII.Uniqueess for the Cauchy problem
Chapter XXIX.Spectral Asymptotics
芝催定戲 Chapter XXX.Long Range Scattering Theory
Bibliography
Index
Index of Notation
