This article is cited in 1 paper

On the Maxwell system under impedance boundary conditions with memory

M. V. Urev<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We consider an initial boundary value problem for the system of the Maxwell equations in a bounded domain with smooth boundary on a finite time interval with new boundary conditions with memory. In appropriate function spaces, we define and study the nonselfadjoint operator that is generated by the Maxwell operator under a boundary condition with memory. Using the operator method, we prove an existence and uniqueness theorem for a solution to the initial boundary value problem.

Keywords: Maxwell system, Maxwell operator, boundary conditions with memory, fractional integrals and derivatives, operator method.

UDC: 517.946.9

Received: 31.01.2012

 English version: Siberian Mathematical Journal, 2014, 55:3, 548–563

Bibliographic databases:

• 
• 
• 
• 
•