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Matematicheskie Zametki, 2003, Volume 73, Issue 1, Pages 77–91
DOI: https://doi.org/10.4213/mzm171 (Mi mzm171) 		 
Boundary Equations in Problems of Diffraction of Electromagnetic Waves with Impedance Boundary Condition

A. Yu. Lytova, I. Yu. Chudinovich

V. N. Karazin Kharkiv National University
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DOI: https://doi.org/10.4213/mzm171
Abstract: The problem of nonstationary diffraction of electromagnetic waves with impedance boundary condition is studied. The solution of the problem is expressed in terms of retarded surface potentials of the first and second kinds. These representations lead to two systems of nonstationary boundary equations. The unique solvability of these systems in one-parameter scales of spaces of Sobolev type is proved.
Received: 20.06.1997
Revised: 24.11.1998
English version:
Mathematical Notes, 2003, Volume 73, Issue 1, Pages 71–84
DOI: https://doi.org/10.1023/A:1022174017647
Bibliographic databases:
UDC: 517.945+517.968
Language: Russian
Citation: A. Yu. Lytova, I. Yu. Chudinovich, “Boundary Equations in Problems of Diffraction of Electromagnetic Waves with Impedance Boundary Condition”, Mat. Zametki, 73:1 (2003), 77–91; Math. Notes, 73:1 (2003), 71–84
Citation in format AMSBIB
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