1 “... of integrable functions as they arise in applied mathematics and PDEs – Radon measures, the Lebesgue Theorem...”

2 Table of Contents: “...Preliminaries -- Quasi-Linear Equations and the Cauchy#x2013;Kowalewski Theorem -- The Laplace...”

3 Table of Contents: “...Preliminaries -- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem -- The Laplace Equation...”

4 “... nonlinear perspective. Chapter I is focused on the Cauchy-Kowaleski theorem. We discuss the notion...”

5 Table of Contents: “... and the regularity theorems -- §2. The main proposition -- §3. Preliminaries -- §4. Rescaled iterations -- §5...”

6 “... of distributions, a proof of the Riesz convolution, Steiner symmetrization, and embedding theorems for functions...”