M-dissipative boundary conditions and boundary tuples for Maxwell operators
نویسندگان
چکیده
For Maxwell operators in Lipschitz domains, we describe all m-dissipative boundary conditions and apply this result to generalized impedance Leontovich including the cases of singular, degenerate, randomized coefficients. To end construct Riesz bases trace spaces associated with curl-operator introduce a modified version triple adapted specifics equations, namely, mixed-order duality related spaces. This provides translation problem operator-theoretic settings abstract operators. In particular, show that Calkin reduction are naturally connected provide an condition applicable other types wave equations. Taking Friedrichs Krein-von Neumann extensions operators, it is possible associate arbitrary non-negative measurable
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.04.006