Introduction

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in-depth surveys on the most important aspects of the present theory.

Table of Contents

The table of contents includes:

• W. Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimates
• A. Bressan: The front tracking method for systems of conservation laws
• E. DiBenedetto, J. M. Urbano, V. Vespri: Current issues on singular and degenerate evolution equations
• L. Hsiao, S. Jiang: Nonlinear hyperbolic-parabolic coupled systems
• A. Lunardi: Nonlinear parabolic equations and systems
• D. Serre: L1-stability of nonlinear waves in scalar conservation laws
• B. Perthame: Kinetic formulations of parabolic and hyperbolic PDEs: from theory to numerics