正版现货 泛函分析、索伯列夫空间和偏微分方程 Haim，Brezis 著 世图科技 世界图书出版公司
9787510096778
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库存5件
北京东城
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作者佚名
出版社世界图书出版公司
ISBN9787510096778
出版时间2015-01
装帧平装
货号633184320419
上书时间2024-05-01
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名称：泛函分析、索伯列夫空间和偏微分方程 Haim，Brezis 著 世图科技 世界图书出版公司
作者：佚名
品相：全新
出版时间：2015-01
装订：平装
ISBN：9787510096778
出版社：世界图书出版公司
商品描述：
定价：98.00元 《泛函分析索伯列夫空间和偏微分方程（英文版）》提出了一个连贯的、确切的、统一的方法将两个来自不同领域的元素——泛函分析和偏微分方程，结合在一起，旨在为具有良好实分析背景的学生提供帮助。通过详细地分析一维PDEs的简单案例，即ODEs，一个对初学者来说比较简单的方法，该书展示了从泛函分析到偏微分方程的平滑过渡。 Preface The Hahn-Banach Theorems． Introduction to the Theory of Conjugate Convex Functions 1．1 The Analytic Form of the Hahn-Banach Theorem： Extension of Linear Functionals 1．2 The Geometric Forms of the Hahn-Banach Theorem： Separation of Convex Sets 1．3 The Bidual E． Orthogonality Relations 1．4 A Quick Introduction to the Theory of Conjugate Convex Functions Comments on Chapter 1 Exercises for Chapter 1 2 The Uniform Boundedness Principle and the Closed Graph Theorem 2．1 The Baire Category Theorem 2．2 The Uniform Boundedness Principle 2．3 The Open Mapping Theorem and the Closed Graph Theorem 2．4 Complementary Subspaces． Right and Left inve．rtibility of Linear Operators 2．5 Orthogonality Revisited 2．6 An Introduction to Unbounded Linear Operators． Definition of the Adjoint 2．7 A Characterization of Operators with Closed Range． A Characterization of Surjective Operators Comments on Chapter 2 Exercises for Chapter 2 Weak Topologies． Reflexive Spaces． Separable Spaces． Uniform Convexity 3．1 The Coarsest Topology for Which a Collection of Maps Becomes Continuous 3．2 Definition and Elementary Properties of the Weak Topology a（E， E*） 3．3 Weak Topology， Convex Sets， and Linear Operators 3．4- The Weak* Topology tr （E'， E） 3．5 Reflexive Spaces 3．6 Separable Spaces 3．7 Uniformly Convex Spaces Comments on Chapter 3 Exercises for Chapter 3 4 Lp Spaces 4．1 Some Results about Integration That Everyone Must Know 4．2 Definition and Elementary Properties of Lp Spaces 4．3 Reflexivity． Separability． Dual of Lp 4．4 Convolution and regularization 4．5 Criterion for Strong Compactness in Lp Comments on Chapter 4 Exercises for Chapter 4 5 Hilbert Spaces 5．1 Definitions and Elementary Properties． Projection onto a Closed Convex Set 5．2 The Dual Space of a Hilbert Space 5．3 The Theorems of Stampacchia and Lax-Milgram 5．4 Hilbert Sums． Orthonormal Bases Comments on Chapter 5 Exercises for Chapter 5 Compact Operators． Spectral Decomposition of Self-Adjoint Compact Operators 6．1 Definitions． Elementary Properties． Adjoint 6．2 The Riesz-Fredholm Theory 6．3 The Spectrum of a Compact Operator 6．4 Spectral Decomposition of Self-Adjoint Compact Operators Comments on Chapter 6 Exercises for Chapter 6 The Hille——Yosida Theorem 7．1 Definition and Elementary Properties of Maximal Monotone Operators 7．2 Solution of the Evolution Problem du "37 + Au = 0 on [0， +cx）， u（0） = u0． Existence and uniqueness 7．3&nb
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