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Titlebook: A Compact Course on Linear PDEs; Alberto Valli Textbook 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusiv

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樓主
發(fā)表于 2025-3-21 18:09:26 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱A Compact Course on Linear PDEs
影響因子2023Alberto Valli
視頻videohttp://file.papertrans.cn/141/140264/140264.mp4
發(fā)行地址The book corresponds to a 6-credits course, and is suitable for being used as a reference textbook.The variational (Hilbert space) approach is consistently used in all the book.The book contains almos
學(xué)科分類UNITEXT
圖書封面Titlebook: A Compact Course on Linear PDEs;  Alberto Valli Textbook 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusiv
影響因子.This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory,?saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations. Almost 80 exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here. This second edition has been enriched by some new sections and new exercises; in particular, three important equations are now included: the biharmonic equation, the linear Navier-Stokes equations and the Maxwell equations.?.
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沙發(fā)
發(fā)表于 2025-3-21 20:51:43 | 只看該作者
J?rg Schumacher,Mohammad S. Emranlated to the variation of temperature, …)..Conservation and variation are thus basic ingredients: in mathematical words, the latter one means .. More precisely, very often the description we want to devise involves many variables: therefore we have to play with . and with . involving unknown quantities and their partial derivatives.
板凳
發(fā)表于 2025-3-22 01:14:21 | 只看該作者
https://doi.org/10.1007/978-94-009-6848-6 requirement of smoothness for the functions belonging to them. On the other hand, the bilinear form determined in (.) contains derivatives. Summing up, we need to speak about derivatives, but this is not possible in the classical sense: we have to introduce a new concept.
地板
發(fā)表于 2025-3-22 06:43:03 | 只看該作者
5#
發(fā)表于 2025-3-22 08:46:42 | 只看該作者
Textbook 2023Latest editionns elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory,?saddle point problems, parabolic and linear Navier-Stokes equations, and hyp
6#
發(fā)表于 2025-3-22 14:02:37 | 只看該作者
Textbook 2023Latest editionecond edition has been enriched by some new sections and new exercises; in particular, three important equations are now included: the biharmonic equation, the linear Navier-Stokes equations and the Maxwell equations.?.
7#
發(fā)表于 2025-3-22 18:24:37 | 只看該作者
Alberto ValliThe book corresponds to a 6-credits course, and is suitable for being used as a reference textbook.The variational (Hilbert space) approach is consistently used in all the book.The book contains almos
8#
發(fā)表于 2025-3-22 23:26:20 | 只看該作者
9#
發(fā)表于 2025-3-23 03:05:44 | 只看該作者
D. Moalem-Maron,N. Brauner,S. SidemanThis chapter is concerned with a general presentation of second order linear elliptic equations and of some of the most popular boundary value problems associated to them (Dirichlet, Neumann, mixed, Robin).
10#
發(fā)表于 2025-3-23 06:07:54 | 只看該作者
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