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From Ordinary to Partial Differential Equations

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Cover of 'From Ordinary to Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Linear Differential Equations
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    Chapter 2 Non-linear Equations
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    Chapter 3 Harmonic Functions
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    Chapter 4 Mathematical Theory of Surfaces
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    Chapter 5 Distributions and Sobolev Spaces
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    Chapter 6 The Caccioppoli-Leray Theorem
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    Chapter 7 Advanced Tools for the Caccioppoli-Leray Inequality
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    Chapter 8 Aspects of Spectral Theory
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    Chapter 9 Laplace Equation with Mixed Boundary Conditions
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    Chapter 10 New Functional Spaces: Morrey and Campanato
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    Chapter 11 Pseudo-Holomorphic and Polyharmonic Frameworks
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    Chapter 12 The Euler Equations
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    Chapter 13 Classical Variational Problems
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    Chapter 14 Characteristics and Waves, 1
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    Chapter 15 Characteristics and Waves, 2
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    Chapter 16 Fundamental Solution and Characteristic Conoid
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    Chapter 17 How to Build the Fundamental Solution
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    Chapter 18 Examples of Fundamental Solutions
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    Chapter 19 Linear Systems of Normal Hyperbolic Form
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    Chapter 20 Linear System from a Non-linear Hyperbolic System
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    Chapter 21 Cauchy Problem for General Relativity
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    Chapter 22 Causal Structure and Global Hyperbolicity
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    Chapter 23 The Heat Equation
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    Chapter 24 The Nash Theorem on Parabolic Equations
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    Chapter 25 The Poincaré Work on Fuchsian Functions
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    Chapter 26 The Kernel of (Laplacian Plus Exponential)
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    Chapter 27 The Functional Equations of Number Theory
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    Chapter 28 The Symbol of Pseudo-Differential Operators
Attention for Chapter 10: New Functional Spaces: Morrey and Campanato
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Chapter title
New Functional Spaces: Morrey and Campanato
Chapter number 10
Book title
From Ordinary to Partial Differential Equations
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-57544-5_10
Book ISBNs
978-3-31-957543-8, 978-3-31-957544-5
Authors

Giampiero Esposito