Abstract
In this chapter, we consider the nonstationary Maxwell system in a simply connected open cone in \(\mathbb {R}^{3}\) with boundary smooth outside the vertex, in a wedge, and in a bounded domain in \(\mathbb {R}^{3}\) with a conical point. The Maxwell system is endowed with the boundary conditions which correspond to the case of perfectly conducting boundary. For studying this system there will be used a scheme based on a proper combined estimate. We describe the asymptotics of solutions near singularities of the boundary.
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References
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Korikov, D., Plamenevskii, B., Sarafanov, O. (2021). On Dynamic Maxwell System in Domains with Edges. In: Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Operator Theory: Advances and Applications(), vol 284. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-65372-9_5
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DOI: https://doi.org/10.1007/978-3-030-65372-9_5
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