Partial Differential Equations by Emmanuele DiBenedetto

Contents
0 Preliminaries
1 Quasi-Linear Equations and the Cauchy–Kowalewski Theorem
2 The Laplace Equation
3 Boundary Value Problems by Double-Layer Potentials
4 Integral Equations and Eigenvalue Problems
5 The Heat Equation
6 The Wave Equation
7 Quasi-Linear Equations of First-Order
8 Non-Linear Equations of First-Order
9 Linear Elliptic Equations with Measurable Coefficients
10 DeGiorgi Classes