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math.AP2019★ 15 cited
Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients
Hoai Minh Nguyen, Swarnendu Sil
We study the limiting absorption principle and the well-posedness of Maxwell equations with anisotropic sign-changing coefficients in the time-harmonic domain. The starting point o…
math.DG2019★ 1 cited
Topology of weak -bundles via Coulomb gauges in critical dimensions
Swarnendu Sil
The transition maps for a Sobolev -bundle are not continuous in the critical dimension and thus the usual notion of topology does not make sense. In this work, we show that if s…