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Titlebook: Geometric Harmonic Analysis IV; Boundary Layer Poten Dorina Mitrea,Irina Mitrea,Marius Mitrea Book 2023 The Editor(s) (if applicable) and T

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發(fā)表于 2025-3-21 19:36:36 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometric Harmonic Analysis IV
副標題Boundary Layer Poten
編輯Dorina Mitrea,Irina Mitrea,Marius Mitrea
視頻videohttp://file.papertrans.cn/384/383521/383521.mp4
概述Current theory of layer potentials for elliptic systems in optimal settings for a wealth of function spaces.Detailed account of relevant boundary layer operators for Stokes’ system of hydrostatics in
叢書名稱Developments in Mathematics
圖書封面Titlebook: Geometric Harmonic Analysis IV; Boundary Layer Poten Dorina Mitrea,Irina Mitrea,Marius Mitrea Book 2023 The Editor(s) (if applicable) and T
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..Traditionally, the label “Calderón-Zygmund theory” has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderón-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here..
出版日期Book 2023
關(guān)鍵詞Divergence theorem; integration by parts; Stokes theorem; singular integral operators; function spaces; b
版次1
doihttps://doi.org/10.1007/978-3-031-29179-1
isbn_softcover978-3-031-29181-4
isbn_ebook978-3-031-29179-1Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-21 21:07:32 | 只看該作者
Layer Potential Operators on Lebesgue and Sobolev Spaces,intertwined. Specifically, we are going to employ SIO’s as a tool to further our understanding of the brand of boundary Sobolev spaces introduced in [69, Chapter?11], ultimately establishing a two-way bridge between these two areas.
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Green Formulas and Layer Potential Operators for the Stokes System,intertwined. Specifically, we are going to employ SIO’s as a tool to further our understanding of the brand of boundary Sobolev spaces introduced in [69, Chapter?11], ultimately establishing a two-way bridge between these two areas.
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發(fā)表于 2025-3-22 09:32:39 | 只看該作者
Book 2023ntegral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here..
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https://doi.org/10.1007/978-1-4684-4055-3ce-free vector-valued kernel. The algebraic structure just described confers excellent cancelation properties (brought to fruition by the Divergence Theorem) which, in turn, permit us to establish boundedness results for these generalized double layers for a multitude of basic scales of function spaces.
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