Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
On Dynamic Maxwell System in Domains with Edges. / Korikov, Dmitrii; Plamenevskii, Boris; Sarafanov, Oleg.
Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Springer Nature, 2021. p. 197-244 (Operator Theory: Advances and Applications; Vol. 284).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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TY - CHAP
T1 - On Dynamic Maxwell System in Domains with Edges
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, we consider the nonstationary Maxwell system in a simply connected open cone in ℝ3 with boundary smooth outside the vertex, in a wedge, and in a bounded domain in ℝ3 with a conical point. The Maxwell system is endowed with the boundary conditions which correspond to the case of perfectly conducting boundary. For studying this system there will be used a scheme based on a proper combined estimate. We describe the asymptotics of solutions near singularities of the boundary.
AB - In this chapter, we consider the nonstationary Maxwell system in a simply connected open cone in ℝ3 with boundary smooth outside the vertex, in a wedge, and in a bounded domain in ℝ3 with a conical point. The Maxwell system is endowed with the boundary conditions which correspond to the case of perfectly conducting boundary. For studying this system there will be used a scheme based on a proper combined estimate. We describe the asymptotics of solutions near singularities of the boundary.
UR - http://www.scopus.com/inward/record.url?scp=85103908394&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/e7ebff05-cba7-38ff-8067-f959c9eabbe5/
U2 - 10.1007/978-3-030-65372-9_5
DO - 10.1007/978-3-030-65372-9_5
M3 - Chapter
AN - SCOPUS:85103908394
T3 - Operator Theory: Advances and Applications
SP - 197
EP - 244
BT - Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
PB - Springer Nature
ER -
ID: 77222123