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Titlebook: Elliptic Partial Differential Equations of Second Order; David Gilbarg,Neil S. Trudinger Book 2001Latest edition Springer-Verlag GmbH Germ

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書(shū)目名稱(chēng)Elliptic Partial Differential Equations of Second Order
編輯David Gilbarg,Neil S. Trudinger
視頻videohttp://file.papertrans.cn/308/307803/307803.mp4
叢書(shū)名稱(chēng)Classics in Mathematics
圖書(shū)封面Titlebook: Elliptic Partial Differential Equations of Second Order; David Gilbarg,Neil S. Trudinger Book 2001Latest edition Springer-Verlag GmbH Germ
描述From the reviews:."This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year‘s lectures". .Newsletter, New Zealand. .Mathematical Society, 1985. ." ... as should be clear from the previous discussion, this book is a bibliographical monument to the theory of both theoretical and applied PDEs that has not acquired any flaws due to its age. On the contrary, it remains a crucial and essential tool for the active research in the field. In a few words, in my modest opinion, “. . . this book contains the essential background that a researcher in elliptic PDEs should possess the day s/he gets a permanent academic position. . . .”? SIAM Newsletter.
出版日期Book 2001Latest edition
關(guān)鍵詞2000; 25Gxx; 35Jxx; Classification; Elliptic PDE; Mathematical; Mathematical Subject Classification 2000; S
版次2
doihttps://doi.org/10.1007/978-3-642-61798-0
isbn_softcover978-3-540-41160-4
isbn_ebook978-3-642-61798-0Series ISSN 1431-0821 Series E-ISSN 2512-5257
issn_series 1431-0821
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2001
The information of publication is updating

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Laplace’s Equationere .. In this chapter we develop some basic properties of harmonic, subharmonic and superharmonic functions which we use to study the solvability of the classical Dirichlet problem for ., . = 0. As mentioned in Chapter 1, Laplace’s equation and its inhomogeneous form, Poisson’s equation, are basic
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Poisson’s Equation and the Newtonian Potentialion . defined on ?. by .. From Green’s representation formula (2.16), we see that when . is sufficiently smooth a ..(.) function may be expressed as the sum of a harmonic function and the Newtonian potential of its Laplacian. It is not surprising therefore that the study of . . = . can largely be ef
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Sobolev Spacesquation (2.3)) a C2(Q) solution of .=. satisfies the integral identity . for all . ∈ .. ∈ (.). The bilinear form . is an inner product on the space ..(.) and the completion of ..(.) under the metric induced by (7.2) is consequently a Hubert space, which we call ..(.).
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Maximum and Comparison Principlesapter 3. We consider second order, quasilinear operators . of the form (10.1) . = ..(., ., .).. + .(., ., .), .. = .., where . = (....., ..) is contained in a domain . of ?., . ≥ 2, and, unless other-wise stated, the function . belongs to ..(.). The coefficients of ., namely the functions ..(., ., .
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發(fā)表于 2025-3-23 09:14:59 | 只看該作者
Topological Fixed Point Theorems and Their Applicationtes for solutions. This reduction is achieved through the application of topological fixed point theorems in appropriate function spaces. We shall first formulate a general criterion for solvability and illustrate its application in a situation where the required apriori estimates are readily derive
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