Nonlinear Partial Differential Equations with Applications

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...

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書誌詳細
第一著者: Roubícek, Tomáš
フォーマット: Livre numérique
言語:Anglais
出版事項: Basel : Birkhäuser Basel 2005.
Cham : Springer Nature
シリーズ:International Series of Numerical Mathematics 153
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Edition sous un autre format:• Nonlinear Partial Differential Equations with Applications, Texte imprimé, 9783764390822
• Nonlinear Partial Differential Equations with Applications, Texte imprimé, 9783764372934
その他の書誌記述
要約: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.
記述事項:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783764373979
ISSN:2296-6072
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