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＜電子ブック＞
The Maximum Principle / by Patrizia Pucci, J. B. Serrin
(Progress in Nonlinear Differential Equations and Their Applications. ISSN:23740280 ; 73)

版	1st ed. 2007.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2007
本文言語	英語
大きさ	X, 236 p : online resource
著者標目	*Pucci, Patrizia author Serrin, J. B author SpringerLink (Online service)
件　名	LCSH:Potential theory (Mathematics) LCSH:Differential equations LCSH:Mathematics FREE:Potential Theory FREE:Differential Equations FREE:Applications of Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8145-5

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