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The Method of Newton's Polyhedron in the Theory of Partial Differential Equations书籍详细信息

ISBN：9780792320371
作者：Gindikin, S. G.; Volevich, L. R.; / Volosov, V.M.
出版社：暂无出版社
出版时间：1992-11
页数：276
价格：$ 157.07
纸张：暂无纸张
装帧：暂无装帧
开本：暂无开本
语言：暂无语言
适合人群：Academics in mathematics and applied mathematics, graduate students and researchers specializing in partial differential equations, and anyone interested in the application of geometric methods in mathematical analysis.
TAG：differential geometry / Partial differential equations / Mathematical Analysis / scientific computing / Newton's Polyhedron
豆瓣评分：暂无豆瓣评分
更新时间：2025-05-07 14:37:30

内容简介：

This volume develops the method of Newton's polyhedron for solving some problems in the theory of partial differential equations. The content is divided into two parts. Chapters 1-4 consider Newton's polygon and Chapters 5-7 consider Newton's polyhedron. The case of the polygon makes it possible not only to consider general constructions in the two-dimensional case, but also leads to some natural multidimensional applications. Attention is mainly focused on a special class of hypoelliptic operators defined using Newton's polyhedron, energy estimates in Cauchy's problem relating to Newton's polyhedron, and generalized operators of principal type. Priority is given to the presentation of an algebraic technique which can be applied to many other problems as well. For researchers and graduate students whose work involves the theory of differential and pseudodifferential equations.

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