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＜電子ブック＞
Nonlinear Partial Differential Equations with Applications / by Tomás Roubicek
(International Series of Numerical Mathematics. ISSN:22966072 ; 153)

版	1st ed. 2005.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2005
本文言語	英語
大きさ	XVIII, 405 p : online resource
著者標目	*Roubicek, Tomás author SpringerLink (Online service)
件　名	LCSH:Difference equations LCSH:Functional equations LCSH:Differential equations LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Numerical analysis FREE:Difference and Functional Equations FREE:Differential Equations FREE:Computational Mathematics and Numerical Analysis FREE:Numerical Analysis
一般注記	Preliminary general material -- Steady-State Problems -- Pseudomonotone or weakly continuous mappings -- Accretive mappings -- Potential problems: smooth case -- Nonsmooth problems; variational inequalities -- Systems of equations: particular examples -- Evolution Problems -- Special auxiliary tools -- Evolution by pseudomonotone or weakly continuous mappings -- Evolution governed by accretive mappings -- Evolution governed by certain set-valued mappings -- Doubly-nonlinear problems -- Systems of equations: particular examples This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation. Methods of Galerkin or of Rothe are exposed in a large generality. Other methods include various direct methods, regularization, or fixed points. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems HTTP:URL=https://doi.org/10.1007/3-7643-7397-0

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