| 书目名称 | The Beltrami Equation | | 副标题 | A Geometric Approach | | 编辑 | Vladimir Gutlyanskii,Vladimir Ryazanov,Eduard Yaku | | 视频video | | | 概述 | Features a unified geometric approach based on the modulus method that is effectively applied to solving the Beltrami equation problems.Presents recent developments in the theory of Beltrami equations | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | .This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics..The purpose of this book is to present the recent developments in the theory of Beltrami equations; especially those concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behavior of solutions to the Beltrami equations. The monograph contains a number of new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary..The most important feature of this book concerns the unified geometric approach based on the modulus method t | | 出版日期 | Book 2012 | | 关键词 | Beltrami equation; ordinary differential equations; partial differential equations | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-3191-6 | | isbn_softcover | 978-1-4899-9302-1 | | isbn_ebook | 978-1-4614-3191-6Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | Springer Science+Business Media, LLC 2012 |
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发表于 2025-3-21 19:59:18
