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math.AP2026
Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions
Jens Markus Melenk, David Wörgötter
We consider the time-harmonic Maxwell equations at a nonzero wavenumber on a bounded and simply connected Lipschitz domain with an analytic boundary , on…
math.AP2025
Regularity of vector fields with piecewise regular curl and divergence
Jens Markus Melenk, David Wörgötter
We consider a bounded Lipschitz domain with sufficiently smooth boundary and prove piecewise Sobolev regularity of vector fields that have piecewise regul…