線性偏微分算子分析 第2卷(英文影印版)

內(nèi)容概要

本書(shū)共有4卷，作者是世界公認(rèn)的分析學(xué)大師。這套4卷集的經(jīng)典名著以廣義函數(shù)論為框架，論述了與線性偏微分方程理論有關(guān)的經(jīng)典分析和現(xiàn)代分析的核心內(nèi)容。第2卷內(nèi)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(nèi)部正則性、柯西問(wèn)題的混合邊值問(wèn)題、恒定強(qiáng)度的微分算子、散射理論、線性偏數(shù)方程的解析函數(shù)理論和卷積型方程等。

書(shū)籍目錄

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 StrengthChapter 14 Scattering TheoryChapter 15 Analytic Function Theory and Differential EquationsChapter 16 Convolution EquationsAppendix A. Some Algebraic LemmasBibliographyIndexIndex of Notation

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