本書共有4卷，作者是世界公認的分析學大師。這套4卷集的經典名著以廣義函式論為框架，論述了與線性偏微分方程理論有關的經典分析和現代分析的核心內容。第2卷內容主要包括：微分方程解的存在性和近似性、微分方程解的內部正則性、柯西問題的混合邊值問題、恆定強度的微分運算元、散射理論、線性偏數方程的解析函式理論和卷積型方程等。
基本介紹
- 書名：線性偏微分運算元分析
- 出版社：世界圖書出版公司
- 頁數：390頁
- ISBN：7506271826
- 品牌：世界圖書出版公司北京公司
- 作者：L.Hormander
- 出版日期：2005年6月1日
- 開本：24開
- 定價：56.00
Introduction
Chapter 10. Existence and Approximation of Solutions of
Differential Equations
Summary
10.1. The Spaces Bp.k
10.2. Fundamental Solutions
10.3. The Equation P(D) u =f when
10.4. Comparison of Differential Operators
10.5. Approximation of Solutions of Homogeneous Differential Equations
10.6. The Equation P(D)u=f when f is in a Local Space
10.7. The Equation P(D) u =f when
10.8. The Geometrical Meaning of the Convexity Conditions
Notes
Chapter 11. Interior Regularity of Solutions of Differential Equations
Summary
11.1. HypoeUiptic Operators
11.2. Partially Hypoelliptic Operators
11.3. Continuation of Differentiability
11.4. Estimates for Derivatives of High Order
Notes
Chapter 12. The Cauchy and Mixed Problems
Summary
12.1 The Cauchy Problem for the Wave Equation
12.2 The Oscillatory Cauchy Problem for the Wave Equation
12.3 Necessary Conditions for Existence and Uniqueness of Solutions to the Cauchy Problem
……
Chapter 13 Differential Operators of Constant Strength
Chapter 14 Scattering Theory
Chapter 15 Analytic Function Theory and Differential Equations
Chapter 16 Convolution Equations
Appendix A. Some Algebraic Lemmas
Bibliography
Index
Index of Notation
Chapter 10. Existence and Approximation of Solutions of
Differential Equations
Summary
10.1. The Spaces Bp.k
10.2. Fundamental Solutions
10.3. The Equation P(D) u =f when
10.4. Comparison of Differential Operators
10.5. Approximation of Solutions of Homogeneous Differential Equations
10.6. The Equation P(D)u=f when f is in a Local Space
10.7. The Equation P(D) u =f when
10.8. The Geometrical Meaning of the Convexity Conditions
Notes
Chapter 11. Interior Regularity of Solutions of Differential Equations
Summary
11.1. HypoeUiptic Operators
11.2. Partially Hypoelliptic Operators
11.3. Continuation of Differentiability
11.4. Estimates for Derivatives of High Order
Notes
Chapter 12. The Cauchy and Mixed Problems
Summary
12.1 The Cauchy Problem for the Wave Equation
12.2 The Oscillatory Cauchy Problem for the Wave Equation
12.3 Necessary Conditions for Existence and Uniqueness of Solutions to the Cauchy Problem
……
Chapter 13 Differential Operators of Constant Strength
Chapter 14 Scattering Theory
Chapter 15 Analytic Function Theory and Differential Equations
Chapter 16 Convolution Equations
Appendix A. Some Algebraic Lemmas
Bibliography
Index
Index of Notation
