Direct Methods in the Theory of Elliptic Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Jindrich Necas 作者

Springer

Alois Kufner 译者

2012-3-5 出版日期

388 页数

USD 129.00 价格

Hardcover

Springer Monographs in Mathematics 丛书系列

9783642104541 图书编码

Direct Methods in the Theory of Elliptic Equations 在线电子书图书标签: 数学 Springer PDE 2012

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Direct Methods in the Theory of Elliptic Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Direct Methods in the Theory of Elliptic Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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Necas's famous book Direct methods in the theory of elliptic equations has become standard reference material on the mathematical theory of linear elliptic equations and systems, and also on the related function spaces framework. It provides a concise and self-contained introduction to the modern theory of partial differential equations, the theory of weak solutions and related topics. It is recommended to scientists working in the field of partial differential equations, postgraduate and graduate students, and applied mathematicians. The first chapter is devoted to directs methods, introduction to the Sobolev spaces, weak solution, Lax-Milgram theorem, Galerkin metods and spectral theory. The second chapter deals with the basic properties of Sobolev spaces (imbeddings, traces, compact imbeddings, fractional spaces).The third chapter contains existence and uniqueness theorems for problems, including the Fredholm alternative and systems of equations with variable coefficients. The next chapter describes regularity properties of weak solutions. Chapter 5 deals with applications of Rellich's inequality and Chapter 6 introduces the Sobolev spaces with weights. Finally the last chapter studies regularity of solutions and their dependence on coefficients and also on irregular domains.

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