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Titlebook: Nonlinear Partial Differential Equations with Applications; Tomá? Roubí?ek Textbook 20051st edition Birkh?user Basel 2005 Mathematica.Part

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書目名稱Nonlinear Partial Differential Equations with Applications
編輯Tomá? Roubí?ek
視頻videohttp://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Titlebook: Nonlinear Partial Differential Equations with Applications;  Tomá? Roubí?ek Textbook 20051st edition Birkh?user Basel 2005 Mathematica.Part
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(guān)鍵詞Mathematica; Partial Differential Equations; differential equation; equation; evolution; form; mapping; mec
版次1
doihttps://doi.org/10.1007/3-7643-7397-0
isbn_ebook978-3-7643-7397-9Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightBirkh?user Basel 2005
The information of publication is updating

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Doubly-nonlinear problemsIn this section we touch upon some selected problems not mentioned so far. This concerns situations with the time-derivative . appearing nonlinearly (Sections 11.1.1 and 11.1.2) or acting on a nonlinearity (Section 11.2), in the former case also in combination with the second time-derivative . involved linearly (Section 11.3).
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Preliminary general material, and are thus assumed as basically known, or have specific roots in rather distant areas and have rather auxiliary character with respect to the purpose of this book, which is to push pure theory towards possible applications as fast as possible. As such, all assertions in Chapter 1 are made without
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