The maximum principle
Author(s)
Bibliographic Information
The maximum principle
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 73）
Birkhäuser, c2007
Available at / 39 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
PUC||2||1200021326360
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Note
Includes bibliographical references (p. [223]-232) and indexes
Description and Table of Contents
Description
Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.
Table of Contents
and Preliminaries.- Tangency and Comparison Theorems for Elliptic Inequalities.- Maximum Principles for Divergence Structure Elliptic Differential Inequalities.- Boundary Value Problems for Nonlinear Ordinary Differential Equations.- The Strong Maximum Principle and the Compact Support Principle.- Non-homogeneous Divergence Structure Inequalities.- The Harnack Inequality.- Applications.
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