Wave Equation in Domains with Edges › Научные исследования в СПбГУ

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Wave Equation in Domains with Edges. / Korikov, Dmitrii ; Plamenevskii, Boris ; Sarafanov, Oleg.

Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. стр. 13-73 (Operator Theory: Advances and Applications; Том 284).

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Harvard

Korikov, D , Plamenevskii, B & Sarafanov, O 2021, Wave Equation in Domains with Edges. в Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Operator Theory: Advances and Applications, Том. 284, Springer Nature, стр. 13-73. https://doi.org/10.1007/978-3-030-65372-9_2

APA

Korikov, D., Plamenevskii, B., & Sarafanov, O. (2021). Wave Equation in Domains with Edges. в Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains (стр. 13-73). (Operator Theory: Advances and Applications; Том 284). Springer Nature. https://doi.org/10.1007/978-3-030-65372-9_2

Vancouver

Korikov D , Plamenevskii B , Sarafanov O. Wave Equation in Domains with Edges. в Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature. 2021. стр. 13-73. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-030-65372-9_2

Author

Korikov, Dmitrii ; Plamenevskii, Boris ; Sarafanov, Oleg. / Wave Equation in Domains with Edges. Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. стр. 13-73 (Operator Theory: Advances and Applications).

BibTeX

@inbook{ce6414192306424687a4aa55e81fd4d9,

title = "Wave Equation in Domains with Edges",

abstract = "In this chapter, the wave equation is considered, at all times t∈ ℝ, in a domain G⊂ ℝn. The boundary ∂G contains finitely many smooth edges ℳm of various dimensions 0 ≤ dim ℳm≤ n− 2 ; outside of the union of edges, the boundary is smooth. The Dirichlet or Neumann conditions are given on ∂G∖ ∪ mℳm. We use this problem to demonstrate the method of combined estimates and derive the asymptotics of solutions near the edges.",

author = "Dmitrii Korikov and Boris Plamenevskii and Oleg Sarafanov",

year = "2021",

doi = "10.1007/978-3-030-65372-9_2",

language = "English",

series = "Operator Theory: Advances and Applications",

publisher = "Springer Nature",

pages = "13--73",

booktitle = "Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains",

address = "Germany",

}

RIS

TY - CHAP

T1 - Wave Equation in Domains with Edges

AU - Korikov, Dmitrii

AU - Plamenevskii, Boris

AU - Sarafanov, Oleg

PY - 2021

Y1 - 2021

N2 - In this chapter, the wave equation is considered, at all times t∈ ℝ, in a domain G⊂ ℝn. The boundary ∂G contains finitely many smooth edges ℳm of various dimensions 0 ≤ dim ℳm≤ n− 2 ; outside of the union of edges, the boundary is smooth. The Dirichlet or Neumann conditions are given on ∂G∖ ∪ mℳm. We use this problem to demonstrate the method of combined estimates and derive the asymptotics of solutions near the edges.

AB - In this chapter, the wave equation is considered, at all times t∈ ℝ, in a domain G⊂ ℝn. The boundary ∂G contains finitely many smooth edges ℳm of various dimensions 0 ≤ dim ℳm≤ n− 2 ; outside of the union of edges, the boundary is smooth. The Dirichlet or Neumann conditions are given on ∂G∖ ∪ mℳm. We use this problem to demonstrate the method of combined estimates and derive the asymptotics of solutions near the edges.

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UR - https://www.mendeley.com/catalogue/2341ed3a-8b9d-3fb6-ac3a-2811eb3d79bb/

U2 - 10.1007/978-3-030-65372-9_2

DO - 10.1007/978-3-030-65372-9_2

M3 - Chapter

AN - SCOPUS:85103905355

T3 - Operator Theory: Advances and Applications

SP - 13

EP - 73

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

PB - Springer Nature

ER -

ID: 77222201