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Titlebook: Essentials of Partial Differential Equations; With Applications Marin Marin,Andreas Öchsner Book 2019 Springer International Publishing AG,

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发表于 2025-3-21 16:11:33 | 显示全部楼层 |阅读模式
书目名称Essentials of Partial Differential Equations
副标题With Applications
编辑Marin Marin,Andreas Öchsner
视频video
概述Offers a two-step approach to partial differential equations: first an introduction to the theory and then modern problems.Presents all the important classical notions: differential operators, charact
图书封面Titlebook: Essentials of Partial Differential Equations; With Applications Marin Marin,Andreas Öchsner Book 2019 Springer International Publishing AG,
描述.This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject.. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects ofthe theory of partial differential equations. .
出版日期Book 2019
关键词Green‘s function; Differential operators; characteristic surfaces; Levi functions; Green‘s formulas; Para
版次1
doihttps://doi.org/10.1007/978-3-319-90647-8
isbn_softcover978-3-030-08064-8
isbn_ebook978-3-319-90647-8
copyrightSpringer International Publishing AG, part of Springer Nature 2019
The information of publication is updating

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Correlations, Coherence, and Order a regular surface. Here, we denoted by . a strictly positive real number. The problem (.) is the problem of the heat propagation and is a prototype for parabolic differential equations of second order.
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Correlation Force Spectroscopy,Let . be a domain (therefore an open and convex set) in the space .. The most general form of a differential linear operator of second order is .where . are given functions, and . is the unknown function. As usual, we denote by . the vector with . components ..
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Perturbation Theory of Response FunctionsThe Newtonian potential, or the potential of volume, associated to the Laplace equation . is, by definition, the following improper integral: .where ., and . is the area of the unit sphere from the .-dimensional space ..
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M.S. Harazdyuk,V.T. Bachinsky,I. MeglinskiA useful tool in approaching ordinary differential equations and also partial differential equations is the Laplace transform, which will be studied in this paragraph.
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https://doi.org/10.1007/3-540-48972-XThe prototype of a parabolic equation is given by the equation of propagation of heat in a body. Let . be a bounded domain from . having boundary . and .. For a constant of time ., arbitrarily fixed, consider the interval of time . given by
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