| 書目名稱 | Partial Differential Equations III | | 副標題 | Nonlinear Equations | | 編輯 | Michael E. Taylor | | 視頻video | http://file.papertrans.cn/742/741492/741492.mp4 | | 概述 | Three volumes offer complete reference to PDE‘s.Includes both theory and applications.Lots of examples and exercises | | 叢書名稱 | Applied Mathematical Sciences | | 圖書封面 |  | | 描述 | The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.?.The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters.? It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operato | | 出版日期 | Textbook 2023Latest edition | | 關鍵詞 | Einstein‘s equations; Navier-Stokes equations; Nonlinear elliptic equations; Nonlinear hyperbolic equat | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-031-33928-8 | | isbn_softcover | 978-3-031-33930-1 | | isbn_ebook | 978-3-031-33928-8Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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