Partial Differential Equations Second Edition /

• Main Author: DiBenedetto, Emmanuele (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Series: Cornerstones
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Difference equations.; Functional equations.; Fourier analysis.; Integral equations.; Partial differential equations.; Calculus of variations.; Analysis.; Partial Differential Equations.; Fourier Analysis.; Difference and Functional Equations.; Integral Equations.; Calculus of Variations and Optimal Control; Optimization.

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:

• Preliminaries
• Quasi-Linear Equations and the Cauchy#x2013;Kowalewski Theorem
• 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
• Linear Elliptic Equations with Measurable Coefficients
• DeGiorgi Classes.