The time dependent Maxwell system with measurable coefficients in Lipschitz domains
Semigroup theory is employed to study inhomogeneous boundary conditions for the time-dependent Maxwell equations with anisotropic material parameters in a non-smooth domain. Only boundedness and measurability of the coefficients are assumed, and the boundary data is assumed to be time independent. W...
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Published in | Journal of mathematical analysis and applications Vol. 452; no. 2; pp. 941 - 956 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
15.08.2017
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Subjects | |
Online Access | Get full text |
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Summary: | Semigroup theory is employed to study inhomogeneous boundary conditions for the time-dependent Maxwell equations with anisotropic material parameters in a non-smooth domain. Only boundedness and measurability of the coefficients are assumed, and the boundary data is assumed to be time independent. When the material parameters are positive definite, a higher order Sobolev theory is developed for the time-dependent Maxwell system. |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1016/j.jmaa.2017.03.052 |