Research output: Contribution to journal › Article › peer-review
The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. / Порецкий, Александр Сергеевич; Пламеневский, Борис Алексеевич.
In: St. Petersburg Mathematical Journal, Vol. 34, No. 4, 26.07.2023, p. 635-693.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium
AU - Порецкий, Александр Сергеевич
AU - Пламеневский, Борис Алексеевич
PY - 2023/7/26
Y1 - 2023/7/26
N2 - In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.
AB - In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.
UR - https://www.mendeley.com/catalogue/1110489f-a19b-360c-95be-2eeb38a0ccce/
U2 - 10.1090/spmj/1773
DO - 10.1090/spmj/1773
M3 - Article
VL - 34
SP - 635
EP - 693
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 4
ER -
ID: 114539990