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Functional Analysis, Sobolev Spaces and Partial Differential Equations

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Cover of 'Functional Analysis, Sobolev Spaces and Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 The Hahn–Banach Theorems. Introduction to the Theory of Conjugate Convex Functions
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    Chapter 2 The Uniform Boundedness Principle and the Closed Graph Theorem
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    Chapter 3 Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity
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    Chapter 4 L p Spaces
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    Chapter 5 Hilbert Spaces
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    Chapter 6 Compact Operators. Spectral Decomposition of Self-Adjoint Compact Operators
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    Chapter 7 The Hille–Yosida Theorem
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    Chapter 8 Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension
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    Chapter 9 Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions
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    Chapter 10 Evolution Problems: The Heat Equation and the Wave Equation
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    Chapter 11 Miscellaneous Complements
Attention for Chapter 5: Hilbert Spaces
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