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MiS Preprint

Frequency Explicit Regularity Estimates for the Electric Field Integral Operator

Lehel Banjai and Stefan A. Sauter


In this paper, we derive regularity estimates for the electric field integral operator which arises when formulating the time-harmonic Maxwell problem as a boundary integral equation. More precisely, we show that the regularity constants can be bounded polynomially in terms of the frequency, where the degree of the polynomial depends on the regularity order and is given explicitly. The paper concludes with an application of these results to the electric field integral equation with distributional right-hand side.

MSC Codes:
35J25, 35B65, 78A45, 65N38, 65R20
Electromagnetic scattering, electric field integral equation, regularity of solutions

Related publications

2012 Repository Open Access
Lehel Banjai and Stefan A. Sauter

Frequency explicit regularity estimates for the electric field integral operator