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Oblique and normal transmission problems for Dirac operators with strongly Lipschitz interfaces

Axelsson, Andreas


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]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Communications in Partial Differential Equations


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