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Elliptic Differential Operators and Spectral Analysis

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Cover of 'Elliptic Differential Operators and Spectral Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 The Laplace Operator
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    Chapter 3 Second-Order Elliptic Equations
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    Chapter 4 The Classical Dirichlet Problem for Second-Order Elliptic Operators
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    Chapter 5 Elliptic Operators of Arbitrary Order
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    Chapter 6 Operators and Quadratic Forms in Hilbert Space
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    Chapter 7 Realisations of Second-Order Linear Elliptic Operators
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    Chapter 8 The $$L_{p}$$ Approach to the Laplace Operator
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    Chapter 9 The $$p-$$ Laplacian
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    Chapter 10 The Rellich Inequality
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    Chapter 11 More Properties of Sobolev Embeddings
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    Chapter 12 The Dirac Operator
Attention for Chapter 5: Elliptic Operators of Arbitrary Order
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