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Oblique derivative problems for elliptic equations in conical domains

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Oblique derivative problems for elliptic equations in conical domainsby Mikhail Borsuk.
作者:	Borsuk, Mikhail.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	1 online resource (x, 327 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations, Elliptic.
電子資源:	https://doi.org/10.1007/978-3-031-28381-9
ISBN:	9783031283819$q(electronic bk.)

Oblique derivative problems for elliptic equations in conical domains
Borsuk, Mikhail.

Oblique derivative problems for elliptic equations in conical domains[electronic resource] /by Mikhail Borsuk. - Cham :Springer Nature Switzerland :2023. - 1 online resource (x, 327 p.) :ill., digital ;24 cm. - Frontiers in elliptic and parabolic problems,2730-5503. - Frontiers in elliptic and parabolic problems..

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.

ISBN: 9783031283819$q(electronic bk.)

Standard No.: 10.1007/978-3-031-28381-9doiSubjects--Topical Terms:

205654
Differential equations, Elliptic.

LC Class. No.: QA377

Dewey Class. No.: 515.3533

Oblique derivative problems for elliptic equations in conical domains
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520 $a 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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