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Maximum Principles and Their Applications

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Author(s): René P. Sperb (Eds.)
Series: Mathematics in science and engineering 157
Publisher: Academic Press
Year: 1981

Language: English
Pages: iii-ix, 1-224
City: New York

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages vii-ix

Chapter 1 Introduction
Pages 1-10

Chapter 2 Maximum Principles in Elliptic and Parabolic Problems
Pages 11-24

Chapter 3 Existence and Regularity Results
Pages 25-42

Chapter 4 Differential Geometry
Pages 43-63

Chapter 5 The P-Function for Solutions of Δu + f(u) = 0
Pages 65-83

Chapter 6 Applications
Pages 85-105

Chapter 7 Nonlinear Elliptic Equations in Divergence form
Pages 107-124

Chapter 8 The P-Function for Solutions of Lu +f(u) = 0
Pages 125-151

Chapter 9 Maximum Principles Associated with Solutions of utt = Δu + f(u)
Pages 153-174

Chapter 10 Further Extensions
Pages 175-187

Chapter 11 Additional and Related Results
Pages 189-215

References
Pages 217-221

Index
Pages 223-224