Standard

Hyperbolic Systems in Domains with Conical Points. / Korikov, Dmitrii; Plamenevskii, Boris; Sarafanov, Oleg.

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. p. 75-127 (Operator Theory: Advances and Applications; Vol. 284).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Korikov, D, Plamenevskii, B & Sarafanov, O 2021, Hyperbolic Systems in Domains with Conical Points. in Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Operator Theory: Advances and Applications, vol. 284, Springer Nature, pp. 75-127. https://doi.org/10.1007/978-3-030-65372-9_3

APA

Korikov, D., Plamenevskii, B., & Sarafanov, O. (2021). Hyperbolic Systems in Domains with Conical Points. In Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains (pp. 75-127). (Operator Theory: Advances and Applications; Vol. 284). Springer Nature. https://doi.org/10.1007/978-3-030-65372-9_3

Vancouver

Korikov D, Plamenevskii B, Sarafanov O. Hyperbolic Systems in Domains with Conical Points. In Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature. 2021. p. 75-127. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-030-65372-9_3

Author

Korikov, Dmitrii ; Plamenevskii, Boris ; Sarafanov, Oleg. / Hyperbolic Systems in Domains with Conical Points. Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. pp. 75-127 (Operator Theory: Advances and Applications).

BibTeX

@inbook{885930efd16d45faa75234ed3bfeff99,
title = "Hyperbolic Systems in Domains with Conical Points",
abstract = "In this chapter, a hyperbolic system of second-order differential equations (formula presented) with Dirichlet or Neumann boundary conditions is considered, at all times t∈ ℝ, in a wedge or a bounded domain with conical points on the boundary. The operator P(Dx) is assumed to be formally self-adjoint and strongly elliptic. We study the asymptotics of solutions near an edge or conical points and deduce formulas for the coefficients in the asymptotics. The reasoning follows the scheme of Chap. 2 while the details of proofs become more complicated. In Sect. 3.1 we consider the Dirichlet problem in a wedge while Sect. 3.2 is devoted to the study of the Neumann problem in a cone and in a domain with a conical point.",
author = "Dmitrii Korikov and Boris Plamenevskii and Oleg Sarafanov",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.1007/978-3-030-65372-9_3",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer Nature",
pages = "75--127",
booktitle = "Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains",
address = "Germany",

}

RIS

TY - CHAP

T1 - Hyperbolic Systems in Domains with Conical Points

AU - Korikov, Dmitrii

AU - Plamenevskii, Boris

AU - Sarafanov, Oleg

N1 - Publisher Copyright: © 2021, Springer Nature Switzerland AG. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - In this chapter, a hyperbolic system of second-order differential equations (formula presented) with Dirichlet or Neumann boundary conditions is considered, at all times t∈ ℝ, in a wedge or a bounded domain with conical points on the boundary. The operator P(Dx) is assumed to be formally self-adjoint and strongly elliptic. We study the asymptotics of solutions near an edge or conical points and deduce formulas for the coefficients in the asymptotics. The reasoning follows the scheme of Chap. 2 while the details of proofs become more complicated. In Sect. 3.1 we consider the Dirichlet problem in a wedge while Sect. 3.2 is devoted to the study of the Neumann problem in a cone and in a domain with a conical point.

AB - In this chapter, a hyperbolic system of second-order differential equations (formula presented) with Dirichlet or Neumann boundary conditions is considered, at all times t∈ ℝ, in a wedge or a bounded domain with conical points on the boundary. The operator P(Dx) is assumed to be formally self-adjoint and strongly elliptic. We study the asymptotics of solutions near an edge or conical points and deduce formulas for the coefficients in the asymptotics. The reasoning follows the scheme of Chap. 2 while the details of proofs become more complicated. In Sect. 3.1 we consider the Dirichlet problem in a wedge while Sect. 3.2 is devoted to the study of the Neumann problem in a cone and in a domain with a conical point.

UR - http://www.scopus.com/inward/record.url?scp=85103904212&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/16c723b8-ec30-3f0b-9600-55173fb2d309/

U2 - 10.1007/978-3-030-65372-9_3

DO - 10.1007/978-3-030-65372-9_3

M3 - Chapter

AN - SCOPUS:85103904212

T3 - Operator Theory: Advances and Applications

SP - 75

EP - 127

BT - Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

PB - Springer Nature

ER -

ID: 77222277