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 |  |
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 |
doi | https://doi.org/10.1007/978-3-031-28381-9 |
isbn_softcover | 978-3-031-28380-2 |
isbn_ebook | 978-3-031-28381-9Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
issn_series | 1660-8046 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |