Qualitative Estimates For Partial Differential Equations: An Introduction

Part I Preliminaries and Fundamental Issues Estimates Based on First Order Differential Inequalities 1: Liapunov Method Estimates Based on First Order Differential Inequalities 2: Volume Integral and Other Methods Estimates Based on Second Order Differential Inequalities Identities Holding Along Solutions to Partial Differential Equations: Lagrange Identity Method Weighted Integral Methods Part II Elliptic Equations Parabolic Equations Hyperbolic, Related Equations, and Others Appendix: Fundamental Inequalities