Partial Differential Equations Second Edition /

• Main Author: DiBenedetto, Emmanuele. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Series: Cornerstones
• Subjects: Mathematics.; Functional equations.; Fourier analysis.; Integral equations.; Differential equations, partial.; Mathematical optimization.; Mathematical physics.; Partial Differential Equations.; Fourier Analysis.; Difference and Functional Equations.; Integral Equations.; Calculus of Variations and Optimal Control; Optimization.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4552-6

This self-contained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through Hamilton--Jacobi equations, elliptic equations with measurable coefficients and DeGiorgi c...

Table of Contents:

• Preface to the Second Edition
• Preface to the First Edition
• Preliminaries
• Quasi-Linear Equations
• The LaPlace Equation
• Boundary Value Problems by Double Layer Potentials
• Integral Equations and Eigenvalue Problems
• The Heat Equation
• The Wave Equation
• Quasi-Linear Equations of First Order
• Non-Linear Equations of First Order
• References
• Index.