出版时间:2005-6 出版社:北京世界图书出版公司 作者:L.Hormander 页数:390
内容概要
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。
书籍目录
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
图书封面
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