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Unique solvability for high-frequency heterogeneous time-harmonic Maxwell equations via the Fredholm alternative theory (1998)

Alonso, Ana ; Valli, Alberto

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 21 (1998), S. 463-477

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ISSN: 0170-4214

Keywords: Engineering ; Numerical Methods and Modeling

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: We consider the time-harmonic Maxwell equations in the high-frequency case for a heterogeneous medium, i.e., a medium which is composed by a conductor and a perfect insulator, or, in other words, a loaded cavity. As a consequence of a suitable compactness result, we prove that Fredholm alternative holds for such a problem. Since the kernels of the considered operator and of its adjoint are proven to be trivial, a unique solution exists for each given datum. © 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Type of Medium: Electronic Resource

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