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Titlebook: Beyond Sobolev and Besov; Regularity of Soluti Cornelia Schneider Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusiv

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樓主
發(fā)表于 2025-3-21 18:36:39 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Beyond Sobolev and Besov
期刊簡稱Regularity of Soluti
影響因子2023Cornelia Schneider
視頻videohttp://file.papertrans.cn/186/185279/185279.mp4
發(fā)行地址Gives a comprehensive treatment of the relations between complex function spaces, the regularity theory of PDEs and traces.Includes many figures illustrating connections and basic ideas.Provides a sys
學(xué)科分類Lecture Notes in Mathematics
圖書封面Titlebook: Beyond Sobolev and Besov; Regularity of Soluti Cornelia Schneider Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusiv
影響因子.This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes.? Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov– and Triebel–Lizorkin spaces, but also in quite general smoothness Morrey spaces..?The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed
Pindex Book 2021
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沙發(fā)
發(fā)表于 2025-3-21 22:19:33 | 只看該作者
Symbols and terms used in Parts 1–4 special emphasis on the relations between the spaces studied. Presenting this material before the main results about to come in Parts I and ., hopefully prevents an overload of information and facilitates the reading of this manuscript.
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發(fā)表于 2025-3-22 14:23:07 | 只看該作者
Theory and Background Material for PDEsgiven PDE. Furthermore, we provide sufficient conditions on the coefficients of the involved differential operators and the functions on the right hand side of our equations, which guarantee the existence and uniqueness of a weak solution..Moreover, for elliptic problems we also present regularity r
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發(fā)表于 2025-3-22 22:40:34 | 只看該作者
0075-8434 ures illustrating connections and basic ideas.Provides a sys.This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists
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發(fā)表于 2025-3-23 02:46:35 | 只看該作者
Royalty and Fees for Technical Services,ined via geodesic normal coordinates. However, for our investigations we require more flexibility in the choice of coordinates and therefore rely on the results obtained in Chap. ., where we studied which conditions are sufficient such that different local coordinates give equivalent norms and therefore yield the same spaces.
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