ENGLISH

Oblique Derivative Problems for Elliptic Equations in Conical Domains

By Mikhail Borsuk

Book information

Publisher
Springer Nature
Year
2023
ISBN
9783031283819, 9783031283802, 3031283813
Language
english
Format
EPUB
Filesize
30 MB (31686232 bytes)
Pages
334\0
Library
SoftArchive
Time added
2023-07-15 06:44:03

Description

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.

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