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Oblique derivative problems for elli...

Borsuk, Mikhail.

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Oblique derivative problems for elliptic equations in conical domains

Record Type:	Electronic resources : Monograph/item
Title/Author:	Oblique derivative problems for elliptic equations in conical domains/ by Mikhail Borsuk.
Author:	Borsuk, Mikhail.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	1 online resource (x, 327 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Elliptic. -
Online resource:	https://doi.org/10.1007/978-3-031-28381-9
ISBN:	9783031283819

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

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

541859
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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100 1 $a Borsuk, Mikhail. $3 779003
245 1 0 $a Oblique derivative problems for elliptic equations in conical domains $h [electronic resource] / $c by Mikhail Borsuk.
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300 $a 1 online resource (x, 327 p.) : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in elliptic and parabolic problems, $x 2730-5503
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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650 0 $a Derivatives (Mathematics) $3 2012659
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650 1 4 $a Mathematics. $3 515831
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