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Titlebook: Oblique Derivative Problems for Elliptic Equations in Conical Domains; Mikhail Borsuk Book 2023 The Editor(s) (if applicable) and The Auth

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发表于 2025-3-21 18:30:11 | 显示全部楼层 |阅读模式
书目名称Oblique Derivative Problems for Elliptic Equations in Conical Domains
编辑Mikhail Borsuk
视频video
概述Provides new results in the oblique derivative probles for elliptic equations in nonsmooth domains.Addresses problems previously studied only in smooth domains.Investigates regular oblique derivative
丛书名称Frontiers in Mathematics
图书封面Titlebook: Oblique Derivative Problems for Elliptic Equations in Conical Domains;  Mikhail Borsuk Book 2023 The Editor(s) (if applicable) and The Auth
描述The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. The question on the behavior of solutions of elliptic boundary value problems near boundary singularities is of great importance for its many applications, e.g., in hydrodynamics, aerodynamics, fracture mechanics, in the geodesy etc. Only few works are devoted to the regular oblique derivative problems for second order elliptic equations in non-smooth domains. All results are given with complete proofs. The monograph will be of interest to graduate students and specialists in elliptic boundary value problems and their applications..
出版日期Book 2023
关键词Regular Oblique Derivative Problem; Non-Smooth Domains; Conical Points; Elliptic Equations; Sharp Estima
版次1
doihttps://doi.org/10.1007/978-3-031-28381-9
isbn_softcover978-3-031-28380-2
isbn_ebook978-3-031-28381-9Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:46:21 | 显示全部楼层
https://doi.org/10.1007/978-3-031-28381-9Regular Oblique Derivative Problem; Non-Smooth Domains; Conical Points; Elliptic Equations; Sharp Estima
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Preliminaries,In this section we review some elementary inequalities (see, e.g., Beckenbach and Bellman (., Springer, Berlin, 1961) and Hardy et al. (., University Press, Cambridge, 1952)) which will be frequently used throughout this book.
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978-3-031-28380-2The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Oblique Derivative Problems for Elliptic Equations in Conical Domains978-3-031-28381-9Series ISSN 1660-8046 Series E-ISSN 1660-8054
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Introduction,asi-linear) in the neighborhood of the boundary singularities. The oblique derivative problem is ., if it is assumed that unit vector fields that define the oblique derivative boundary conditions is nowhere tangential to the boundaries considered.
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