书目名称 | Geometric Harmonic Analysis V | 副标题 | Fredholm Theory and | 编辑 | Dorina Mitrea,Irina Mitrea,Marius Mitrea | 视频video | | 概述 | State of the art, original, expansive account of elliptic boundary value problems.Elaborate treatment of Fredholm theory for boundary layer potential operators.The main results, in print here for the | 丛书名称 | Developments in Mathematics | 图书封面 |  | 描述 | .This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations..The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations... | 出版日期 | Book 2023 | 关键词 | Divergence theorem; integration by parts; Stokes theorem; singular integral operators; function spaces; b | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-31561-9 | isbn_softcover | 978-3-031-31563-3 | isbn_ebook | 978-3-031-31561-9Series ISSN 1389-2177 Series E-ISSN 2197-795X | issn_series | 1389-2177 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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