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Misha Gromov & 著
店铺: 澜瑞外文Lanree图书专营店 出版社: Springer ISBN:9783540121770 商品编码:1210596998 包装:精装 外文名称:Partial Differential R... 出版时间:1986-09-01 页数:363 正文语种:英语
Partial Differential Relations 电子书 下载 mobi epub pdf txt
Partial Differential Relations-so88
Partial Differential Relations pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Misha Gromov & 著
店铺: 澜瑞外文Lanree图书专营店 出版社: Springer ISBN:9783540121770 商品编码:1210596998 包装:精装 外文名称:Partial Differential R... 出版时间:1986-09-01 页数:363 正文语种:英语
图书基本信息
Partial Differential Relations
作者: Misha Gromov;
ISBN13: 9783540121770
类型: 精装(精装书)
语种: 英语(English)
出版日期: 1986-09-01
出版社: Springer
页数: 363
重量(克): 712
尺寸: 23.3934 x 15.5956 x 2.2352 cm
商品简介
The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an equation, are very rare in the space of all admissible functions (regardless of a particular topology in a function space). Moreover, some additional (like initial or boundary) conditions often insure the uniqueness of solutions. The existence of these is usually established with some apriori estimates which locate a possible solution in a given function space. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics. Our equations are, for the most part, undetermined (or, at least, behave like those) and their solutions are rather dense in spaces of functions. We solve and classify solutions of these equations by means of direct (and not so direct) geometric constructions. Our exposition is elementary and the proofs of the basic results are selfcontained. However, there is a number of examples and exercises (of variable difficulty), where the treatment of a particular equation requires a certain knowledge of pertinent facts in the surrounding field. The techniques we employ, though quite general, do not cover all geometrically interesting equations. The border of the unexplored territory is marked by a number of open questions throughout the book.Partial Differential Relations 电子书 下载 mobi epub pdf txt
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