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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 2: Non-linear Equations
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Readers on

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422 Mendeley
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Chapter title
Non-linear Equations
Chapter number 2
Book title
From Ordinary to Partial Differential Equations
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-57544-5_2
Book ISBNs
978-3-31-957543-8, 978-3-31-957544-5
Authors

Giampiero Esposito

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 422 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 7 2%
Germany 5 1%
India 4 <1%
United Kingdom 4 <1%
Colombia 3 <1%
Australia 3 <1%
Poland 2 <1%
Canada 2 <1%
Sweden 2 <1%
Other 15 4%
Unknown 375 89%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 132 31%
Researcher 74 18%
Student > Master 45 11%
Student > Doctoral Student 30 7%
Professor > Associate Professor 30 7%
Other 92 22%
Unknown 19 5%
Readers by discipline Count As %
Engineering 140 33%
Physics and Astronomy 48 11%
Mathematics 40 9%
Computer Science 32 8%
Agricultural and Biological Sciences 27 6%
Other 104 25%
Unknown 31 7%