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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书目名称A Compact Course on Linear PDEs读者反馈学科排名

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Jörg 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.

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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.

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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

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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. .

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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

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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).

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