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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane
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Astala, Kari/ Iwaniec, Tadeusz/ Martin, Gaven 作者
译者
2008-12 出版日期
696 页数
$ 112.94 价格
丛书系列
9780691137773 图书编码

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane 在线电子书 图书描述

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations - the most important class of PDEs in applications - are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.

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