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Titlebook: Elliptic Differential Equations and Obstacle Problems; Giovanni Maria Troianiello Book 1987 Springer Science+Business Media New York 1987

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发表于 2025-3-21 19:14:30 | 显示全部楼层 |阅读模式
书目名称Elliptic Differential Equations and Obstacle Problems
编辑Giovanni Maria Troianiello
视频videohttp://file.papertrans.cn/308/307785/307785.mp4
丛书名称University Series in Mathematics
图书封面Titlebook: Elliptic Differential Equations and Obstacle Problems;  Giovanni Maria Troianiello Book 1987 Springer Science+Business Media New York 1987
描述In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of "physical" motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applie
出版日期Book 1987
关键词applied mathematics; differential equation; equation; function; mathematics
版次1
doihttps://doi.org/10.1007/978-1-4899-3614-1
isbn_softcover978-1-4899-3616-5
isbn_ebook978-1-4899-3614-1
copyrightSpringer Science+Business Media New York 1987
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they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my int
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Winkelfunktionen und ebene Trigonometrie,rtion . be closed as well. With the help of Section 1.7.3 for what concerns boundary values, we see that (2.1) certainly makes sense in the function space ..(.) and implies .by the divergence theorem: see Theorem 1.53. (From now on we adopt the . repeated dummy indices indicate summation from 1 to ..)
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Logik als Sprache der Mathematik,ce of derivatives (either in the classical or in a generalized, weaker sense). In this chapter we develop the study of such spaces to the extent required for the investigation of second-order elliptic problems.
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