Book contents
- Frontmatter
- Dedication
- Contents
- List of Illustrations
- Preface
- Acknowledgments
- Notations
- Chapter 1 Introduction
- Chapter 2 Preliminaries
- Chapter 3 First-Order Partial Differential Equations: Method of Characteristics
- Chapter 4 Hamilton–Jacobi Equation
- Chapter 5 Conservation Laws
- Chapter 6 Classification of Second-Order Equations
- Chapter 7 Laplace and Poisson Equations
- Chapter 8 Heat Equation
- Chapter 9 One-Dimensional Wave Equation
- Chapter 10 Wave Equation in Higher Dimensions
- Chapter 11 Cauchy–Kovalevsky Theorem and Its Generalization
- Chapter 12 A Peep into Weak Derivatives, Sobolev Spaces and Weak Formulation
- References
- Index
Notations
Published online by Cambridge University Press: 20 May 2020
- Frontmatter
- Dedication
- Contents
- List of Illustrations
- Preface
- Acknowledgments
- Notations
- Chapter 1 Introduction
- Chapter 2 Preliminaries
- Chapter 3 First-Order Partial Differential Equations: Method of Characteristics
- Chapter 4 Hamilton–Jacobi Equation
- Chapter 5 Conservation Laws
- Chapter 6 Classification of Second-Order Equations
- Chapter 7 Laplace and Poisson Equations
- Chapter 8 Heat Equation
- Chapter 9 One-Dimensional Wave Equation
- Chapter 10 Wave Equation in Higher Dimensions
- Chapter 11 Cauchy–Kovalevsky Theorem and Its Generalization
- Chapter 12 A Peep into Weak Derivatives, Sobolev Spaces and Weak Formulation
- References
- Index
Summary
- Type
- Chapter
- Information
- Partial Differential EquationsClassical Theory with a Modern Touch, pp. xvii - xxPublisher: Cambridge University PressPrint publication year: 2020