Table of Contents:
  • Front Cover; Maximum Principles and their Applications; Copyright Page; Contents; Preface; Chapter 1. Introduction; 1.1 Notation and Some Basic Definitions; 1.2 Some Examples of Problems Leading to Elliptic Equations; 1.3 Examples of Problems Leading to Parabolic Equations; 1.4 Some Remarks on a Priori Inequalities; Chapter 2. Maximum Principles in Elliptic and Parabolic Problems; 2.1 Introduction: One-Dimensional Case; 2.2 Elliptic Problems; 2.3 Parabolic Problems; 2.4 Parabolic Systems; Chapter 3. Existence and Regularity Results
  • 10.1 Fourth-Order Problems10.2 Elliptic Systems; 10.3 Parabolic Systems; Chapter 11. Additional and Related Results; 11.1 Level Surface Coordinates; 11.2 Estimates Not Requiring Gradient Bounds; 11.3 Estimates Based on Gradient Bounds; 11.4 Maximum Principles Involving Harmonic Functions; References; Index
  • Includes bibliographical references (pages 217-221) and index