线性偏微分算子分析（第二卷）（英文版）

    本书共有4卷，作者是世界公认的分析学大师。这套4卷集的经典名著以广义函数论为框架，论述了与线性偏微分方程理论有关的经典分析和现代分析的核心内容。第2卷内容主要包括：微分方程解的存在性和近似性、微分方程解的内部正则性、柯西问题的混合边值问题、恒定强度的微分算子、散射理论、线性偏数方程的解析函数理论和卷积型方程等。

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