| 書目名稱 | Nonlinear Partial Differential Equations with Applications | | 編輯 | Tomá? Roubí?ek | | 視頻video | http://file.papertrans.cn/668/667634/667634.mp4 | | 概述 | Balances the abstract functional-analysis approach with concrete partial differential equations.Methods of Galerkin or of Rothe are exposed in a large generality.Primarily intended for graduate and Ph | | 叢書名稱 | International Series of Numerical Mathematics | | 圖書封面 |  | | 描述 | .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.. | | 出版日期 | Textbook 20051st edition | | 關鍵詞 | Mathematica; Partial Differential Equations; differential equation; equation; evolution; form; mapping; mec | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7397-0 | | isbn_ebook | 978-3-7643-7397-9Series ISSN 0373-3149 Series E-ISSN 2296-6072 | | issn_series | 0373-3149 | | copyright | Birkh?user Basel 2005 |
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