Oblique and normal transmission problems for Dirac operators with strongly Lipschitz interfaces
We investigate transmission problems with strongly Lipschitz interfaces for the Dirac equation by establishing spectral estimates on an associated boundary singular integral operator, the rotation operator. Using Rellich estimates we obtain angular spectral estimates on both the essential and full spectrum for general bi-oblique transmission problems. Specializing to the normal transmission problem, we investigate transmission problems for Maxwell's equations using a nilpotent exterior/interior...[Show more]
|Collections||ANU Research Publications|
|Source:||Communications in Partial Differential Equations|
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