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Partial Differential Equations

Overview of attention for book
Cover of 'Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction: What Are Partial Differential Equations?
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    Chapter 2 The Laplace Equation as the Prototype of an Elliptic Partial Differential Equation of Second Order
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    Chapter 3 The Maximum Principle
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    Chapter 4 Existence Techniques I: Methods Based on the Maximum Principle
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    Chapter 5 Existence Techniques II: Parabolic Methods. The Heat Equation
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    Chapter 6 The Wave Equation and Its Connections with the Laplace and Heat Equations
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    Chapter 7 The Heat Equation, Semigroups, and Brownian Motion
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    Chapter 8 The Dirichlet Principle. Variational Methods for the Solution of PDEs (Existence Techniques III)
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    Chapter 9 Sobolev Spaces and L 2 Regularity Theory
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    Chapter 10 Strong Solutions
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    Chapter 11 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV)
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    Chapter 12 The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash
Attention for Chapter 11: The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV)
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Chapter title
The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV)
Chapter number 11
Book title
Partial Differential Equations
Published by
Springer, New York, NY, January 2002
DOI 10.1007/0-387-21595-6_11
Book ISBNs
978-0-387-95428-8, 978-0-387-21595-2
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